MIME-Version: 1.0
Content-Type: multipart/related; boundary="----=_NextPart_01C8E538.D9DEDD90"

This document is a Single File Web Page, also known as a Web Archive file.  If you are seeing this message, your browser or editor doesn't support Web Archive files.  Please download a browser that supports Web Archive, such as Microsoft Internet Explorer.

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"
xmlns:o=3D"urn:schemas-microsoft-com:office:office"
xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"
xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"
xmlns=3D"http://www.w3.org/TR/REC-html40">

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DPowerPoint.Slide>
<meta name=3DGenerator content=3D"Microsoft PowerPoint 11">
<link rel=3DFile-List href=3D"2ComplexNumbers_files/filelist.xml">
<link rel=3DPreview href=3D"2ComplexNumbers_files/preview.wmf">
<link rel=3DEdit-Time-Data href=3D"2ComplexNumbers_files/editdata.mso">
<title>Complex Numbers</title>
<!--[if gte mso 9]><xml>
 <o:DocumentProperties>
  <o:Author>Frank Ma</o:Author>
  <o:LastAuthor>Frank Ma</o:LastAuthor>
  <o:Revision>39</o:Revision>
  <o:TotalTime>1486</o:TotalTime>
  <o:Created>2005-09-02T13:22:16Z</o:Created>
  <o:LastSaved>2008-07-14T05:36:11Z</o:LastSaved>
  <o:Words>3955</o:Words>
  <o:PresentationFormat>On-screen Show</o:PresentationFormat>
  <o:Company>LA Harbor College</o:Company>
  <o:Paragraphs>757</o:Paragraphs>
  <o:Slides>60</o:Slides>
  <o:Version>11.8132</o:Version>
 </o:DocumentProperties>
 <o:OfficeDocumentSettings>
  <o:PixelsPerInch>80</o:PixelsPerInch>
 </o:OfficeDocumentSettings>
</xml><![endif]-->
<link rel=3DPresentation-XML href=3D"2ComplexNumbers_files/pres.xml">
<meta name=3DDescription content=3D"7/13/2008">
<meta http-equiv=3Dexpires content=3D0>
<![if !ppt]><script>
<!--
	var ver =3D 0, appVer =3D navigator.appVersion, msie =3D appVer.indexOf( "=
MSIE " )
	var msieWin31 =3D (appVer.indexOf( "Windows 3.1" ) >=3D 0), isMac =3D (app=
Ver.indexOf("Macintosh") >=3D 0)
	if( msie >=3D 0 )
		ver =3D parseFloat( appVer.substring( msie+5, appVer.indexOf ( ";", msie =
) ) )
	else
		ver =3D parseInt( appVer )

	browserSupported=3D0
	if( !isMac && ver >=3D 4 && msie >=3D 0 ) {
		browserSupported=3D1
		window.location.replace( '2ComplexNumbers_files/frame.htm'+document.locat=
ion.hash )
	}	=09
//-->
</script><![endif]>
</head>

<body>
<script><!--

if( browserSupported )
	document.writeln('<div style=3D"visibility:hidden">');

//--></script><font face=3DArial size=3D2><b>

<p>This presentation contains content that your browser may not be able to =
show
properly. This presentation was optimized for more recent versions of Micro=
soft
Internet Explorer.</p>

<p>If you would like to proceed anyway, click <a
href=3D"2ComplexNumbers_files/frame.htm">here</a>.</p>

</b></font><script><!--

if( browserSupported )
	document.writeln('</div>');

//--></script>
</body>

</html>

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/master15.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"
xmlns:o=3D"urn:schemas-microsoft-com:office:office"
xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"
xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"
xmlns=3D"http://www.w3.org/TR/REC-html40">

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DPowerPoint.Slide>
<meta name=3DGenerator content=3D"Microsoft PowerPoint 11">
<link id=3DMain-File rel=3DMain-File href=3D"../2ComplexNumbers.htm">
<link rel=3DPreview href=3Dpreview.wmf>
<![if IE]>
<base href=3D"file:///C:\7102A2B3\2ComplexNumbers_files\master15.htm"
id=3D"webarch_temp_base_tag">
<![endif]>
<meta name=3DRobots content=3DNoIndex>
<link rel=3DStylesheet href=3D"master15_stylesheet.css">
<![if !ppt]><script src=3Dscript.js></script>
<script>
<!--
	parent.location.href=3Ddocument.all.item("Main-File").href
//-->
</script>
<![endif]>
</head>

<body>

<div v:shape=3D"_x0000_s98306" class=3DT><span lang=3DEN-US style=3D'mso-fa=
reast-language:
ZH-CN'>Click to edit Master title style</span></div>

<div v:shape=3D"_x0000_m98307">

<div class=3DB><span lang=3DEN-US style=3D'mso-fareast-language:ZH-CN'>Clic=
k to edit
Master text styles&#13;</span></div>

<div class=3DB1><span lang=3DEN-US style=3D'mso-fareast-language:ZH-CN'>Sec=
ond
level&#13;</span></div>

<div class=3DB2><span lang=3DEN-US style=3D'mso-fareast-language:ZH-CN'>Thi=
rd
level&#13;</span></div>

<div class=3DB3><span lang=3DEN-US style=3D'mso-fareast-language:ZH-CN'>Fou=
rth
level&#13;</span></div>

<div class=3DB4><span lang=3DEN-US style=3D'mso-fareast-language:ZH-CN'>Fif=
th level</span></div>

</div>

<div v:shape=3D"_x0000_s98308" class=3DO><span lang=3DEN-US style=3D'font-s=
ize:78%;
mso-field-code:meta0'>&#8249;date/time&#8250;</span><span lang=3DZH-CN
style=3D'font-size:78%;mso-ansi-language:EN-US;mso-special-format:lastCR'>&=
#13;</span></div>

<div v:shape=3D"_x0000_s98309" class=3DO style=3D'text-align:center'><span
lang=3DZH-CN style=3D'font-size:78%;mso-ansi-language:EN-US;mso-field-code:=
meta15'>&#8249;footer&#8250;</span><span
lang=3DEN-US style=3D'font-size:78%;mso-fareast-language:ZH-CN;mso-special-=
format:
lastCR'>&#13;</span></div>

<div v:shape=3D"_x0000_s98310" class=3DO style=3D'text-align:right'><span l=
ang=3DZH-CN
style=3D'font-size:78%;mso-ansi-language:EN-US;mso-field-code:meta16'>&#824=
9;#&#8250;</span><span
lang=3DEN-US style=3D'font-size:78%;mso-fareast-language:ZH-CN;mso-special-=
format:
lastCR'>&#13;</span></div>

</body>

</html>

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/master15.xml
Content-Transfer-Encoding: quoted-printable
Content-Type: text/xml; charset="utf-8"

<xml xmlns:v=3D"urn:schemas-microsoft-com:vml"
 xmlns:o=3D"urn:schemas-microsoft-com:office:office"
 xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"
 xmlns:oa=3D"urn:schemas-microsoft-com:office:activation">
 <o:shapelayout v:ext=3D"edit">
  <o:idmap v:ext=3D"edit" data=3D"96"/>
 </o:shapelayout><p:colorscheme
  colors=3D"#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00=
"/>
 <v:background id=3D"_x0000_s98305" o:bwmode=3D"white" fillcolor=3D"white [=
0]">
  <v:fill color2=3D"#339 [5]"/>
 </v:background><p:shaperange id=3D"_x0000_s98306">
  <v:shapetype id=3D"_x0000_s98306" style=3D'position:absolute;left:36pt;to=
p:21.625pt;
   width:9in;height:90pt;v-text-anchor:middle' coordsize=3D"21600,21600"
   o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f"
   fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
   <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/>
   <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/>
   <v:shadow color=3D"gray [2]"/>
   <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/>
   <o:lock v:ext=3D"edit" grouping=3D"t"/>
   <p:placeholder type=3D"title"/>
  </v:shapetype></p:shaperange>
 <p:shaperange id=3D"_x0000_m98307">
  <v:shapetype id=3D"_x0000_m98307" style=3D'position:absolute;left:36pt;to=
p:126pt;
   width:9in;height:356.375pt' coordsize=3D"21600,21600" o:master=3D"" o:sp=
t=3D"1"
   path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#bbe0e3 [4]"
   stroked=3D"f" strokecolor=3D"black [1]">
   <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/>
   <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/>
   <v:shadow color=3D"gray [2]"/>
   <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/>
   <o:lock v:ext=3D"edit" grouping=3D"t"/>
   <p:placeholder type=3D"body" position=3D"1"/>
  </v:shapetype></p:shaperange>
 <p:shaperange id=3D"_x0000_s98308">
  <v:shapetype id=3D"_x0000_s98308" style=3D'position:absolute;left:36pt;to=
p:491.75pt;
   width:168pt;height:37.5pt' coordsize=3D"21600,21600" o:master=3D"" o:spt=
=3D"1"
   path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#bbe0e3 [4]"
   stroked=3D"f" strokecolor=3D"black [1]">
   <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/>
   <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/>
   <v:shadow color=3D"gray [2]"/>
   <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/>
   <o:lock v:ext=3D"edit" grouping=3D"t"/>
   <p:placeholder type=3D"dateTime" position=3D"2" size=3D"half"/>
  </v:shapetype></p:shaperange>
 <p:shaperange id=3D"_x0000_s98309">
  <v:shapetype id=3D"_x0000_s98309" style=3D'position:absolute;left:246pt;t=
op:491.75pt;
   width:228pt;height:37.5pt' coordsize=3D"21600,21600" o:master=3D"" o:spt=
=3D"1"
   path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#bbe0e3 [4]"
   stroked=3D"f" strokecolor=3D"black [1]">
   <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/>
   <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/>
   <v:shadow color=3D"gray [2]"/>
   <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/>
   <o:lock v:ext=3D"edit" grouping=3D"t"/>
   <p:placeholder type=3D"footer" position=3D"3" size=3D"quarter"/>
  </v:shapetype></p:shaperange>
 <p:shaperange id=3D"_x0000_s98310">
  <v:shapetype id=3D"_x0000_s98310" style=3D'position:absolute;left:516pt;t=
op:491.75pt;
   width:168pt;height:37.5pt' coordsize=3D"21600,21600" o:master=3D"" o:spt=
=3D"1"
   path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#bbe0e3 [4]"
   stroked=3D"f" strokecolor=3D"black [1]">
   <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/>
   <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/>
   <v:shadow color=3D"gray [2]"/>
   <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/>
   <o:lock v:ext=3D"edit" grouping=3D"t"/>
   <p:placeholder type=3D"slideNumber" position=3D"4" size=3D"quarter"/>
  </v:shapetype></p:shaperange>
</xml>
------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/preview.wmf
Content-Transfer-Encoding: base64
Content-Type: image/x-wmf

AQAJAAAD0AAAAAYAHgAAAAAABAAAAAMBCAAFAAAACwIAAAAABQAAAAwCeQChAAMAAAAeAAcAAAD8
AgAA////AAAABAAAAC0BAAAIAAAA+gIFAAAAAAD///8ABAAAAC0BAQAOAAAAJAMFAP///////3gA
oAB4AKAA////////CAAAAPoCAAAAAAAAAAAAAAQAAAAtAQIABwAAAPwCAAD///8AAAAEAAAALQED
AAQAAAAnAf//HAAAAPsC+f8AAAAAAACQAQAAAAAAQAAiQXJpYWwAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAEAAAALQEEAAQAAAAuARgABAAAAAIBAQAFAAAACQIAAAACHgAAADIKBwA0AA8AAABD
b21wbGV4IE51bWJlcnMABQAEAAYABAACAAQAAwACAAUABAAGAAQABAACAAQABAAAAC4BAAAcAAAA
+wIQAAcAAAAAALwCAAAAAAECAiJTeXN0ZW0AAAAAAAAAAAAAGAAAAAIAAACwgwUF5AQAAAQAAAAt
AQUABAAAAPABBAADAAAAAAA=

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/pres.xml
Content-Transfer-Encoding: quoted-printable
Content-Type: text/xml; charset="utf-8"

<xml xmlns:v=3D"urn:schemas-microsoft-com:vml"
 xmlns:o=3D"urn:schemas-microsoft-com:office:office"
 xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"
 xmlns:oa=3D"urn:schemas-microsoft-com:office:activation">
 <p:presentation sizeof=3D"screen" gridspacingx=3D"49152" gridspacingy=3D"4=
9152">
  <p:master id=3D"15" slidesn=3D"1C71D4F,60349870" type=3D"main" href=3D"ma=
ster15.htm"
   xmlhref=3D"master15.xml" template=3D"Default Design" layout=3D"title_bod=
y"
   slots=3D"title,body,dateTime,footer,slideNumber">
   <p:schemes>
    <p:colorscheme
     colors=3D"#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99c=
c00"/>
    <p:colorscheme
     colors=3D"#ffffff,#000000,#969696,#000000,#fbdf53,#ff9966,#cc3300,#996=
600"/>
    <p:colorscheme
     colors=3D"#ffffff,#000000,#808080,#000000,#99ccff,#ccccff,#3333cc,#af6=
7ff"/>
    <p:colorscheme
     colors=3D"#def6f1,#000000,#969696,#000000,#ffffff,#8dc6ff,#0066cc,#00a=
800"/>
    <p:colorscheme
     colors=3D"#ffffd9,#000000,#777777,#000000,#fffff7,#33cccc,#ff5050,#ff9=
900"/>
    <p:colorscheme
     colors=3D"#008080,#ffffff,#005a58,#ffff99,#006462,#6d6fc7,#00ffff,#00f=
f00"/>
    <p:colorscheme
     colors=3D"#800000,#ffffff,#5c1f00,#dfd293,#cc3300,#be7960,#ffff99,#d3a=
219"/>
    <p:colorscheme
     colors=3D"#000099,#ffffff,#003366,#ccffff,#3366cc,#00b000,#66ccff,#ffe=
701"/>
    <p:colorscheme
     colors=3D"#000000,#ffffff,#336699,#e3ebf1,#003399,#468a4b,#66ccff,#f0e=
500"/>
    <p:colorscheme
     colors=3D"#686b5d,#ffffff,#777777,#d1d1cb,#909082,#809ea8,#ffcc66,#e9d=
cb9"/>
    <p:colorscheme
     colors=3D"#666699,#ffffff,#3e3e5c,#ffffff,#60597b,#6666ff,#99ccff,#fff=
f99"/>
    <p:colorscheme
     colors=3D"#523e26,#ffffff,#2d2015,#dfc08d,#8c7b70,#8f5f2f,#ccb400,#8c9=
ea0"/>
   </p:schemes>
  </p:master>
  <p:slide id=3D"8" slidesn=3D"1C5AFC1,52108350" href=3D"slide0008.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"55" slidesn=3D"1C5AFC1,52108350" href=3D"slide0055.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"56" slidesn=3D"1C5AFC1,52108350" href=3D"slide0056.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"57" slidesn=3D"1C5AFC1,52108350" href=3D"slide0057.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"58" slidesn=3D"1C5AFC1,52108350" href=3D"slide0058.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"59" slidesn=3D"1C5AFC1,52108350" href=3D"slide0059.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"60" slidesn=3D"1C5AFC1,52108350" href=3D"slide0060.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"61" slidesn=3D"1C5AFC1,52108350" href=3D"slide0061.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"62" slidesn=3D"1C5AFC1,52108350" href=3D"slide0062.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"63" slidesn=3D"1C5AFC1,52108350" href=3D"slide0063.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"64" slidesn=3D"1C5AFC1,52108350" href=3D"slide0064.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"65" slidesn=3D"1C5AFC1,52108350" href=3D"slide0065.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"24" slidesn=3D"1C5AFC1,52108350" href=3D"slide0024.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"66" slidesn=3D"1C5AFC1,52108350" href=3D"slide0066.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"67" slidesn=3D"1C5AFC1,52108350" href=3D"slide0067.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"68" slidesn=3D"1C5AFC1,52108350" href=3D"slide0068.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"69" slidesn=3D"1C5AFC1,52108350" href=3D"slide0069.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"70" slidesn=3D"1C5AFC1,52108350" href=3D"slide0070.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"71" slidesn=3D"1C5AFC1,52108350" href=3D"slide0071.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"72" slidesn=3D"1C5AFC1,52108350" href=3D"slide0072.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"73" slidesn=3D"1C5AFC1,52108350" href=3D"slide0073.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"74" slidesn=3D"1C5AFC1,52108350" href=3D"slide0074.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"75" slidesn=3D"1C5AFC1,52108350" href=3D"slide0075.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"76" slidesn=3D"1C5AFC1,52108350" href=3D"slide0076.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"77" slidesn=3D"1C5AFC1,52108350" href=3D"slide0077.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"78" slidesn=3D"1C5AFC1,52108350" href=3D"slide0078.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"40" slidesn=3D"1C5AFC1,52108350" href=3D"slide0040.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"79" slidesn=3D"1C5AFC1,52108350" href=3D"slide0079.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"80" slidesn=3D"1C5AFC1,52108350" href=3D"slide0080.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"81" slidesn=3D"1C5AFC1,52108350" href=3D"slide0081.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"82" slidesn=3D"1C5AFC1,52108350" href=3D"slide0082.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"83" slidesn=3D"1C5AFC1,52108350" href=3D"slide0083.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"84" slidesn=3D"1C5AFC1,52108350" href=3D"slide0084.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"85" slidesn=3D"1C5AFC1,52108350" href=3D"slide0085.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"86" slidesn=3D"1C5AFC1,52108350" href=3D"slide0086.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"87" slidesn=3D"1C5AFC1,52108350" href=3D"slide0087.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"88" slidesn=3D"1C5AFC1,52108350" href=3D"slide0088.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"89" slidesn=3D"1C5AFC1,52108350" href=3D"slide0089.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"90" slidesn=3D"1C5AFC1,52108350" href=3D"slide0090.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"92" slidesn=3D"1C5AFC1,52108350" href=3D"slide0092.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"93" slidesn=3D"1C5AFC1,52108350" href=3D"slide0093.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"48" slidesn=3D"1C5AFC1,52108350" href=3D"slide0048.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"94" slidesn=3D"1C5AFC1,52108350" href=3D"slide0094.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"95" slidesn=3D"1C5AFC1,52108350" href=3D"slide0095.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"96" slidesn=3D"1C5AFC1,52108350" href=3D"slide0096.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"97" slidesn=3D"1C5AFC1,52108350" href=3D"slide0097.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"98" slidesn=3D"1C5AFC1,52108350" href=3D"slide0098.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"99" slidesn=3D"1C5AFC1,52108350" href=3D"slide0099.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"100" slidesn=3D"1C5AFC1,52108350" href=3D"slide0100.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"101" slidesn=3D"1C5AFC1,52108350" href=3D"slide0101.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"102" slidesn=3D"1C5AFC1,52108350" href=3D"slide0102.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"103" slidesn=3D"1C5AFC1,52108350" href=3D"slide0103.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"104" slidesn=3D"1C5AFC1,52108350" href=3D"slide0104.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"105" slidesn=3D"1C5AFC1,52108350" href=3D"slide0105.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"106" slidesn=3D"1C5AFC1,52108350" href=3D"slide0106.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"107" slidesn=3D"1C5AFC1,52108350" href=3D"slide0107.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"108" slidesn=3D"1C5AFC1,52108350" href=3D"slide0108.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"109" slidesn=3D"1C5AFC1,52108350" href=3D"slide0109.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"110" slidesn=3D"1C5AFC1,52108350" href=3D"slide0110.htm"
   layout=3D"title_subtitle" slots=3D"centerTitle,subTitle"/>
  <p:slide id=3D"111" slidesn=3D"1C5AFC1,52108350" href=3D"slide0111.htm"
   xmlhref=3D"slide0111.xml" layout=3D"title_subtitle" slots=3D"centerTitle=
,subTitle"/>
  <p:viewstate type=3D"slideView" slidehref=3D"slide0078.htm" scale=3D"75"
   restoredleft=3D"156" restoredtop=3D"946" vertbarstate=3D"0" horizbarstat=
e=3D"2"
   hideoutlineicons=3D"t"/>
  <p:font name=3D"Arial" charset=3D"0" type=3D"6" family=3D"34"/>
  <p:font name=3D"Symbol" charset=3D"2" type=3D"6" family=3D"18"/>
  <p:font name=3D"宋体" charset=3D"134" type=3D"6" family=3D"2"/>
  <p:font name=3D"Garamond" charset=3D"0" type=3D"6" family=3D"18"/>
  <p:font name=3D"Times New Roman" charset=3D"0" type=3D"6" family=3D"18"/>
  <p:headersfooters noheader=3D"t"/>
  <p:pptdocumentsettings framecolors=3D"WhiteTextOnBlack" hideslideanimatio=
n=3D"t"
   browsersupport=3D"v4"/>
 </p:presentation>
 <o:shapedefaults v:ext=3D"edit" spidmax=3D"171064">
  <o:colormru v:ext=3D"edit" colors=3D"#69f,#6f3,#f80629,green,#060"/>
  <o:colormenu v:ext=3D"edit" fillcolor=3D"none [1]" strokecolor=3D"#f80629=
"/>
 </o:shapedefaults></xml>
------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0070.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"
xmlns:o=3D"urn:schemas-microsoft-com:office:office"
xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"
xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"
xmlns=3D"http://www.w3.org/TR/REC-html40">

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DPowerPoint.Slide>
<meta name=3DGenerator content=3D"Microsoft PowerPoint 11">
<link id=3DMain-File rel=3DMain-File href=3D"../2ComplexNumbers.htm">
<link rel=3DPreview href=3Dpreview.wmf>
<!--[if !mso]>
<style>
v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
p\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
v\:textbox {display:none;}
</style>
<![endif]-->
<title>Complex Numbers</title>
<![if IE]>
<base href=3D"file:///C:\7102A2B3\2ComplexNumbers_files\slide0070.htm"
id=3D"webarch_temp_base_tag">
<![endif]>
<meta name=3DDescription content=3D"7/13/2008">
<link rel=3DStylesheet href=3D"master15_stylesheet.css">
<![if !ppt]>
<style>
.CB
	{color:black;}
</style>
<style media=3Dprint>
<!--.sld
	{left:0px !important;
	width:6.0in !important;
	height:4.5in !important;
	font-size:107% !important;}
-->
</style>
<script src=3Dscript.js></script><script><!--
if( !IsNts() ) Redirect( "PPTSld" );
//--></script><!--[if vml]><script>g_vml =3D 1;
</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit">
 <o:idmap v:ext=3D"edit" data=3D"125"/>
</o:shapelayout>
</head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'
onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"
onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;
width:534px;height:400px;font-size:16px;background-color:white;clip:rect(0%=
, 101%, 101%, 0%);
visibility:hidden'><p:slide coordsize=3D"720,540"
 colors=3D"#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
 masterhref=3D"master15.xml">
 <p:shaperange href=3D"master15.xml#_x0000_s98305"/><![if !ppt]><p:shaperan=
ge
  href=3D"master15.xml#_x0000_s98308"/><p:shaperange
  href=3D"master15.xml#_x0000_s98309"/><![endif]><p:shaperange
  href=3D"master15.xml#_x0000_m98307"/><v:shape id=3D"_x0000_s128002" type=
=3D"#_x0000_m98307"
  style=3D'position:absolute;left:30pt;top:48pt;width:672pt;height:402pt'>
  <v:fill o:detectmouseclick=3D"f"/>
  <v:stroke o:forcedash=3D"f"/>
  <o:lock v:ext=3D"edit" text=3D"f"/>
  <p:placeholder type=3D"subTitle" position=3D"1"/></v:shape><v:shapetype i=
d=3D"_x0000_t202"
  coordsize=3D"21600,21600" o:spt=3D"202" path=3D"m,l,21600r21600,l21600,xe=
">
  <v:stroke joinstyle=3D"miter"/>
  <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/>
 </v:shapetype><v:shape id=3D"_x0000_s128003" type=3D"#_x0000_t202" style=
=3D'position:absolute;
  left:30pt;top:183.75pt;width:552.125pt;height:64.75pt;mso-wrap-style:none;
  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:rect id=3D"_x0000_s128004" style=3D'position:absolute;left:22=
8pt;
  top:0;width:279.125pt;height:45.625pt;mso-wrap-style:none;v-text-anchor:t=
op-baseline'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
 [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect>
 <div v:shape=3D"_x0000_s128002" class=3DCB>
 <div style=3D'text-align:left;position:absolute;top:9.75%;left:5.24%;width=
:91.57%;
 height:5.25%'><span style=3D'mso-bidi-font-family:"Times New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'>A </span></span><span style=3D'mso-bidi-font=
-family:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:Arial;mso-ascii=
-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:black;mso-color-index:3;mso-fareast-language:ZH-CN'><i=
>complex
 number</i></span></span><span style=3D'mso-bidi-font-family:"Times New Rom=
an"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is a number of the form &#13;</span></span>=
</div>
 <div style=3D'text-align:left;position:absolute;top:16.25%;left:5.24%;
 width:91.57%;height:5.25%'><span style=3D'mso-bidi-font-family:"Times New =
Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;
 </span></span></span><span style=3D'mso-bidi-font-family:"Times New Roman"=
'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'>a</span></span><span style=3D'mso-bidi-font-family:"Times New Roman=
"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> </span></span><span style=3D'mso-bidi-font-=
family:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-=
ascii-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:#F80629;mso-fareast-language:ZH-CN'>&plusmn;</span></s=
pan><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>bi&#13;</span></span></div>
 <div style=3D'text-align:left'><span style=3D'position:absolute;top:22.5%;
 left:5.24%;width:107.3%;height:5.25%'><span style=3D'mso-bidi-font-family:=
"Times New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'>where a and b are real numbers, </span></spa=
n><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'>a</span></span><span style=3D'mso-bidi-font-family:"Times New Roman=
"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is called the </span></span><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#006600;mso-far=
east-language:
 ZH-CN'><i>r</i></span></span><span style=3D'mso-bidi-font-family:"Times Ne=
w Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'><i>eal part</i></span></span><span style=3D'mso-bidi-font-family:"T=
imes New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> and </span></span></span><span
 style=3D'position:absolute;top:28.0%;left:5.24%;width:99.06%;height:5.25%'=
><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:\5B8B\4F53;mso-ascii-font-family:Arial;mso-fareast-fo=
nt-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>&plusmn;</span></span><span style=3D'mso-bidi-font-family:"Times Ne=
w Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>bi</span></span><span style=3D'mso-bidi-font-family:"Times New Roma=
n"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is called the </span></span><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'><i>imaginary part</i></span></span><span style=3D'mso-bidi-font-fam=
ily:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:Arial;mso-ascii=
-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:black;mso-color-index:3;mso-fareast-language:ZH-CN'> of
 the complex number.</span></span></span></div>
 </div>
 <div v:shape=3D"_x0000_s128003" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:35.0%;left:5.24%;width:89.88%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>Example B.<span style=3D'mso-spacerun:yes'>&nbsp; </span>5 &#8211;
 3i,<span style=3D'mso-spacerun:yes'>&nbsp; </span>6i,<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>&#8211;<=
/span><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#00=
6600;
 mso-fareast-language:ZH-CN'>17 are complex numbers &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:40.25%;left:5.24%;width:74.9%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>for 6i =3D 0 + 6i, </span><span lang=3DEN-US style=3D'font-size:133=
%;
 color:#006600;mso-fareast-language:ZH-CN'>&#8211;</span><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>17 =3D </span><span lang=3DEN-US style=3D'font-size:133%;color:#006=
600;
 mso-fareast-language:ZH-CN'>&#8211;</span><span lang=3DEN-US style=3D'mso-=
hansi-font-family:
 Arial;font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>17 + 0i.</s=
pan></div>
 </div>
 <div v:shape=3D"_x0000_s128004" class=3DO style=3D'position:absolute;top:1=
.0%;
 left:32.58%;width:44.38%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Complex Numbers<=
/span></div>
</p:slide></div>

</body>

</html>

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0071.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"
xmlns:o=3D"urn:schemas-microsoft-com:office:office"
xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"
xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"
xmlns=3D"http://www.w3.org/TR/REC-html40">

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DPowerPoint.Slide>
<meta name=3DGenerator content=3D"Microsoft PowerPoint 11">
<link id=3DMain-File rel=3DMain-File href=3D"../2ComplexNumbers.htm">
<link rel=3DPreview href=3Dpreview.wmf>
<!--[if !mso]>
<style>
v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
p\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
v\:textbox {display:none;}
</style>
<![endif]-->
<title>Complex Numbers</title>
<![if IE]>
<base href=3D"file:///C:\7102A2B3\2ComplexNumbers_files\slide0071.htm"
id=3D"webarch_temp_base_tag">
<![endif]>
<meta name=3DDescription content=3D"7/13/2008">
<link rel=3DStylesheet href=3D"master15_stylesheet.css">
<![if !ppt]>
<style>
.CB
	{color:black;}
</style>
<style media=3Dprint>
<!--.sld
	{left:0px !important;
	width:6.0in !important;
	height:4.5in !important;
	font-size:107% !important;}
-->
</style>
<script src=3Dscript.js></script><script><!--
if( !IsNts() ) Redirect( "PPTSld" );
//--></script><!--[if vml]><script>g_vml =3D 1;
</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit">
 <o:idmap v:ext=3D"edit" data=3D"126"/>
</o:shapelayout>
</head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'
onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"
onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;
width:534px;height:400px;font-size:16px;background-color:white;clip:rect(0%=
, 101%, 101%, 0%);
visibility:hidden'><p:slide coordsize=3D"720,540"
 colors=3D"#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
 masterhref=3D"master15.xml">
 <p:shaperange href=3D"master15.xml#_x0000_s98305"/><![if !ppt]><p:shaperan=
ge
  href=3D"master15.xml#_x0000_s98308"/><p:shaperange
  href=3D"master15.xml#_x0000_s98309"/><![endif]><p:shaperange
  href=3D"master15.xml#_x0000_m98307"/><v:shape id=3D"_x0000_s129026" type=
=3D"#_x0000_m98307"
  style=3D'position:absolute;left:30pt;top:48pt;width:672pt;height:402pt'>
  <v:fill o:detectmouseclick=3D"f"/>
  <v:stroke o:forcedash=3D"f"/>
  <o:lock v:ext=3D"edit" text=3D"f"/>
  <p:placeholder type=3D"subTitle" position=3D"1"/></v:shape><v:shapetype i=
d=3D"_x0000_t202"
  coordsize=3D"21600,21600" o:spt=3D"202" path=3D"m,l,21600r21600,l21600,xe=
">
  <v:stroke joinstyle=3D"miter"/>
  <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/>
 </v:shapetype><v:shape id=3D"_x0000_s129027" type=3D"#_x0000_t202" style=
=3D'position:absolute;
  left:30pt;top:183.75pt;width:564.375pt;height:122.25pt;mso-wrap-style:non=
e;
  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:rect id=3D"_x0000_s129028" style=3D'position:absolute;left:22=
8pt;
  top:0;width:279.125pt;height:45.625pt;mso-wrap-style:none;v-text-anchor:t=
op-baseline'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
 [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect>
 <div v:shape=3D"_x0000_s129026" class=3DCB>
 <div style=3D'text-align:left;position:absolute;top:9.75%;left:5.24%;width=
:91.57%;
 height:5.25%'><span style=3D'mso-bidi-font-family:"Times New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'>A </span></span><span style=3D'mso-bidi-font=
-family:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:Arial;mso-ascii=
-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:black;mso-color-index:3;mso-fareast-language:ZH-CN'><i=
>complex
 number</i></span></span><span style=3D'mso-bidi-font-family:"Times New Rom=
an"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is a number of the form &#13;</span></span>=
</div>
 <div style=3D'text-align:left;position:absolute;top:16.25%;left:5.24%;
 width:91.57%;height:5.25%'><span style=3D'mso-bidi-font-family:"Times New =
Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;
 </span></span></span><span style=3D'mso-bidi-font-family:"Times New Roman"=
'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'>a</span></span><span style=3D'mso-bidi-font-family:"Times New Roman=
"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> </span></span><span style=3D'mso-bidi-font-=
family:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-=
ascii-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:#F80629;mso-fareast-language:ZH-CN'>&plusmn;</span></s=
pan><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>bi&#13;</span></span></div>
 <div style=3D'text-align:left'><span style=3D'position:absolute;top:22.5%;
 left:5.24%;width:107.3%;height:5.25%'><span style=3D'mso-bidi-font-family:=
"Times New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'>where a and b are real numbers, </span></spa=
n><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'>a</span></span><span style=3D'mso-bidi-font-family:"Times New Roman=
"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is called the </span></span><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#006600;mso-far=
east-language:
 ZH-CN'><i>r</i></span></span><span style=3D'mso-bidi-font-family:"Times Ne=
w Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'><i>eal part</i></span></span><span style=3D'mso-bidi-font-family:"T=
imes New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> and </span></span></span><span
 style=3D'position:absolute;top:28.0%;left:5.24%;width:99.06%;height:5.25%'=
><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:\5B8B\4F53;mso-ascii-font-family:Arial;mso-fareast-fo=
nt-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>&plusmn;</span></span><span style=3D'mso-bidi-font-family:"Times Ne=
w Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>bi</span></span><span style=3D'mso-bidi-font-family:"Times New Roma=
n"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is called the </span></span><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'><i>imaginary part</i></span></span><span style=3D'mso-bidi-font-fam=
ily:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:Arial;mso-ascii=
-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:black;mso-color-index:3;mso-fareast-language:ZH-CN'> of
 the complex number.</span></span></span></div>
 </div>
 <div v:shape=3D"_x0000_s129027" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:35.0%;left:5.24%;width:89.88%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>Example B.<span style=3D'mso-spacerun:yes'>&nbsp; </span>5 &#8211;
 3i,<span style=3D'mso-spacerun:yes'>&nbsp; </span>6i,<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>&#8211;<=
/span><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#00=
6600;
 mso-fareast-language:ZH-CN'>17 are complex numbers &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:40.25%;left:5.24%;width:76.59%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>for 6i =3D 0 + 6i, </span><span lang=3DEN-US style=3D'font-size:133=
%;
 color:#006600;mso-fareast-language:ZH-CN'>&#8211;</span><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>17 =3D </span><span lang=3DEN-US style=3D'font-size:133%;color:#006=
600;
 mso-fareast-language:ZH-CN'>&#8211;</span><span lang=3DEN-US style=3D'mso-=
hansi-font-family:
 Arial;font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>17 + 0i.&#1=
3;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:45.75%;left:5.24%;width:91.76%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:Z=
H-CN'>In
 particular, every real number a is also a complex &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:51.0%;left:5.24%;width:76.59%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:Z=
H-CN'>because
 a =3D a + 0i. </span></div>
 </div>
 <div v:shape=3D"_x0000_s129028" class=3DO style=3D'position:absolute;top:1=
.0%;
 left:32.58%;width:44.38%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Complex Numbers<=
/span></div>
</p:slide></div>

</body>

</html>

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0072.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"
xmlns:o=3D"urn:schemas-microsoft-com:office:office"
xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"
xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"
xmlns=3D"http://www.w3.org/TR/REC-html40">

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DPowerPoint.Slide>
<meta name=3DGenerator content=3D"Microsoft PowerPoint 11">
<link id=3DMain-File rel=3DMain-File href=3D"../2ComplexNumbers.htm">
<link rel=3DPreview href=3Dpreview.wmf>
<!--[if !mso]>
<style>
v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
p\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
v\:textbox {display:none;}
</style>
<![endif]-->
<title>Complex Numbers</title>
<![if IE]>
<base href=3D"file:///C:\7102A2B3\2ComplexNumbers_files\slide0072.htm"
id=3D"webarch_temp_base_tag">
<![endif]>
<meta name=3DDescription content=3D"7/13/2008">
<link rel=3DStylesheet href=3D"master15_stylesheet.css">
<![if !ppt]>
<style>
.CB
	{color:black;}
</style>
<style media=3Dprint>
<!--.sld
	{left:0px !important;
	width:6.0in !important;
	height:4.5in !important;
	font-size:107% !important;}
-->
</style>
<script src=3Dscript.js></script><script><!--
if( !IsNts() ) Redirect( "PPTSld" );
//--></script><!--[if vml]><script>g_vml =3D 1;
</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit">
 <o:idmap v:ext=3D"edit" data=3D"127"/>
</o:shapelayout>
</head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'
onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"
onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;
width:534px;height:400px;font-size:16px;background-color:white;clip:rect(0%=
, 101%, 101%, 0%);
visibility:hidden'><p:slide coordsize=3D"720,540"
 colors=3D"#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
 masterhref=3D"master15.xml">
 <p:shaperange href=3D"master15.xml#_x0000_s98305"/><![if !ppt]><p:shaperan=
ge
  href=3D"master15.xml#_x0000_s98308"/><p:shaperange
  href=3D"master15.xml#_x0000_s98309"/><![endif]><p:shaperange
  href=3D"master15.xml#_x0000_m98307"/><v:shape id=3D"_x0000_s130050" type=
=3D"#_x0000_m98307"
  style=3D'position:absolute;left:30pt;top:48pt;width:672pt;height:402pt'>
  <v:fill o:detectmouseclick=3D"f"/>
  <v:stroke o:forcedash=3D"f"/>
  <o:lock v:ext=3D"edit" text=3D"f"/>
  <p:placeholder type=3D"subTitle" position=3D"1"/></v:shape><v:shapetype i=
d=3D"_x0000_t202"
  coordsize=3D"21600,21600" o:spt=3D"202" path=3D"m,l,21600r21600,l21600,xe=
">
  <v:stroke joinstyle=3D"miter"/>
  <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/>
 </v:shapetype><v:shape id=3D"_x0000_s130051" type=3D"#_x0000_t202" style=
=3D'position:absolute;
  left:30pt;top:183.75pt;width:564.375pt;height:122.25pt;mso-wrap-style:non=
e;
  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:rect id=3D"_x0000_s130052" style=3D'position:absolute;left:22=
8pt;
  top:0;width:279.125pt;height:45.625pt;mso-wrap-style:none;v-text-anchor:t=
op-baseline'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
 [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><v:rect id=3D"_x0000_s130053" style=3D'position:absolute;left:30p=
t;top:306pt;
  width:684pt;height:93.5pt;mso-wrap-style:square;v-text-anchor:top' filled=
=3D"f"
  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect>
 <div v:shape=3D"_x0000_s130050" class=3DCB>
 <div style=3D'text-align:left;position:absolute;top:9.75%;left:5.24%;width=
:91.57%;
 height:5.25%'><span style=3D'mso-bidi-font-family:"Times New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'>A </span></span><span style=3D'mso-bidi-font=
-family:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:Arial;mso-ascii=
-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:black;mso-color-index:3;mso-fareast-language:ZH-CN'><i=
>complex
 number</i></span></span><span style=3D'mso-bidi-font-family:"Times New Rom=
an"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is a number of the form &#13;</span></span>=
</div>
 <div style=3D'text-align:left;position:absolute;top:16.25%;left:5.24%;
 width:91.57%;height:5.25%'><span style=3D'mso-bidi-font-family:"Times New =
Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;
 </span></span></span><span style=3D'mso-bidi-font-family:"Times New Roman"=
'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'>a</span></span><span style=3D'mso-bidi-font-family:"Times New Roman=
"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> </span></span><span style=3D'mso-bidi-font-=
family:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-=
ascii-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:#F80629;mso-fareast-language:ZH-CN'>&plusmn;</span></s=
pan><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>bi&#13;</span></span></div>
 <div style=3D'text-align:left'><span style=3D'position:absolute;top:22.5%;
 left:5.24%;width:107.3%;height:5.25%'><span style=3D'mso-bidi-font-family:=
"Times New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'>where a and b are real numbers, </span></spa=
n><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'>a</span></span><span style=3D'mso-bidi-font-family:"Times New Roman=
"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is called the </span></span><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#006600;mso-far=
east-language:
 ZH-CN'><i>r</i></span></span><span style=3D'mso-bidi-font-family:"Times Ne=
w Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'><i>eal part</i></span></span><span style=3D'mso-bidi-font-family:"T=
imes New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> and </span></span></span><span
 style=3D'position:absolute;top:28.0%;left:5.24%;width:97.94%;height:5.25%'=
><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:\5B8B\4F53;mso-ascii-font-family:Arial;mso-fareast-fo=
nt-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>&plusmn;</span></span><span style=3D'mso-bidi-font-family:"Times Ne=
w Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>bi</span></span><span style=3D'mso-bidi-font-family:"Times New Roma=
n"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is called the </span></span><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'><i>imaginary part</i></span></span><span style=3D'mso-bidi-font-fam=
ily:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:Arial;mso-ascii=
-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:black;mso-color-index:3;mso-fareast-language:ZH-CN'> of
 the complex number</span></span></span></div>
 </div>
 <div v:shape=3D"_x0000_s130051" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:35.0%;left:5.24%;width:90.82%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>Example B.<span style=3D'mso-spacerun:yes'>&nbsp; </span>5 &#8211;
 3i,<span style=3D'mso-spacerun:yes'>&nbsp; </span>6i,<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>&#8211;<=
/span><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#00=
6600;
 mso-fareast-language:ZH-CN'>17 are complex numbers. &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:40.25%;left:5.24%;width:76.59%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>for 6i =3D 0 + 6i, </span><span lang=3DEN-US style=3D'font-size:133=
%;
 color:#006600;mso-fareast-language:ZH-CN'>&#8211;</span><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>17 =3D </span><span lang=3DEN-US style=3D'font-size:133%;color:#006=
600;
 mso-fareast-language:ZH-CN'>&#8211;</span><span lang=3DEN-US style=3D'mso-=
hansi-font-family:
 Arial;font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>17 + 0i.&#1=
3;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:45.75%;left:5.24%;width:91.76%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:Z=
H-CN'>In
 particular, every real number a is also a complex &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:51.0%;left:5.24%;width:76.59%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:Z=
H-CN'>because
 a =3D a + 0i. </span></div>
 </div>
 <div v:shape=3D"_x0000_s130052" class=3DO style=3D'position:absolute;top:1=
.0%;
 left:32.58%;width:44.38%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Complex Numbers<=
/span></div>
 <div v:shape=3D"_x0000_s130053" class=3DO>
 <div style=3D'position:absolute;top:57.49%;left:5.24%;width:93.07%;height:=
5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>(Addit=
ion and
 subtraction of complex numbers)&#13;</b></span></div>
 <span style=3D'position:absolute;top:63.0%;left:5.24%;width:110.11%;height=
:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Treat the
 &quot;i&quot; as a variable when adding or subtracting complex </span></sp=
an><span
 style=3D'position:absolute;top:68.25%;left:5.24%;width:93.07%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>numbers. =
</span></span></div>
</p:slide></div>

</body>

</html>

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0073.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"
xmlns:o=3D"urn:schemas-microsoft-com:office:office"
xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"
xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"
xmlns=3D"http://www.w3.org/TR/REC-html40">

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DPowerPoint.Slide>
<meta name=3DGenerator content=3D"Microsoft PowerPoint 11">
<link id=3DMain-File rel=3DMain-File href=3D"../2ComplexNumbers.htm">
<link rel=3DPreview href=3Dpreview.wmf>
<!--[if !mso]>
<style>
v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
p\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
v\:textbox {display:none;}
</style>
<![endif]-->
<title>Complex Numbers</title>
<![if IE]>
<base href=3D"file:///C:\7102A2B3\2ComplexNumbers_files\slide0073.htm"
id=3D"webarch_temp_base_tag">
<![endif]>
<meta name=3DDescription content=3D"7/13/2008">
<link rel=3DStylesheet href=3D"master15_stylesheet.css">
<![if !ppt]>
<style>
.CB
	{color:black;}
</style>
<style media=3Dprint>
<!--.sld
	{left:0px !important;
	width:6.0in !important;
	height:4.5in !important;
	font-size:107% !important;}
-->
</style>
<script src=3Dscript.js></script><script><!--
if( !IsNts() ) Redirect( "PPTSld" );
//--></script><!--[if vml]><script>g_vml =3D 1;
</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit">
 <o:idmap v:ext=3D"edit" data=3D"128"/>
</o:shapelayout>
</head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'
onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"
onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;
width:534px;height:400px;font-size:16px;background-color:white;clip:rect(0%=
, 101%, 101%, 0%);
visibility:hidden'><p:slide coordsize=3D"720,540"
 colors=3D"#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
 masterhref=3D"master15.xml">
 <p:shaperange href=3D"master15.xml#_x0000_s98305"/><![if !ppt]><p:shaperan=
ge
  href=3D"master15.xml#_x0000_s98308"/><p:shaperange
  href=3D"master15.xml#_x0000_s98309"/><![endif]><p:shaperange
  href=3D"master15.xml#_x0000_m98307"/><v:shape id=3D"_x0000_s131074" type=
=3D"#_x0000_m98307"
  style=3D'position:absolute;left:30pt;top:48pt;width:672pt;height:402pt'>
  <v:fill o:detectmouseclick=3D"f"/>
  <v:stroke o:forcedash=3D"f"/>
  <o:lock v:ext=3D"edit" text=3D"f"/>
  <p:placeholder type=3D"subTitle" position=3D"1"/></v:shape><v:shapetype i=
d=3D"_x0000_t202"
  coordsize=3D"21600,21600" o:spt=3D"202" path=3D"m,l,21600r21600,l21600,xe=
">
  <v:stroke joinstyle=3D"miter"/>
  <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/>
 </v:shapetype><v:shape id=3D"_x0000_s131075" type=3D"#_x0000_t202" style=
=3D'position:absolute;
  left:30pt;top:183.75pt;width:564.375pt;height:122.25pt;mso-wrap-style:non=
e;
  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:rect id=3D"_x0000_s131076" style=3D'position:absolute;left:22=
8pt;
  top:0;width:279.125pt;height:45.625pt;mso-wrap-style:none;v-text-anchor:t=
op-baseline'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
 [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><v:rect id=3D"_x0000_s131077" style=3D'position:absolute;left:30p=
t;top:306pt;
  width:684pt;height:93.5pt;mso-wrap-style:square;v-text-anchor:top' filled=
=3D"f"
  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><v:shape id=3D"_x0000_s131078" type=3D"#_x0000_t202" style=3D'pos=
ition:absolute;
  left:30pt;top:400.875pt;width:556.25pt;height:74.375pt' filled=3D"f"
  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape>
 <div v:shape=3D"_x0000_s131074" class=3DCB>
 <div style=3D'text-align:left;position:absolute;top:9.75%;left:5.24%;width=
:91.57%;
 height:5.25%'><span style=3D'mso-bidi-font-family:"Times New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'>A </span></span><span style=3D'mso-bidi-font=
-family:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:Arial;mso-ascii=
-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:black;mso-color-index:3;mso-fareast-language:ZH-CN'><i=
>complex
 number</i></span></span><span style=3D'mso-bidi-font-family:"Times New Rom=
an"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is a number of the form &#13;</span></span>=
</div>
 <div style=3D'text-align:left;position:absolute;top:16.25%;left:5.24%;
 width:91.57%;height:5.25%'><span style=3D'mso-bidi-font-family:"Times New =
Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;
 </span></span></span><span style=3D'mso-bidi-font-family:"Times New Roman"=
'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'>a</span></span><span style=3D'mso-bidi-font-family:"Times New Roman=
"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> </span></span><span style=3D'mso-bidi-font-=
family:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-=
ascii-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:#F80629;mso-fareast-language:ZH-CN'>&plusmn;</span></s=
pan><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>bi&#13;</span></span></div>
 <div style=3D'text-align:left'><span style=3D'position:absolute;top:22.5%;
 left:5.24%;width:107.3%;height:5.25%'><span style=3D'mso-bidi-font-family:=
"Times New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'>where a and b are real numbers, </span></spa=
n><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'>a</span></span><span style=3D'mso-bidi-font-family:"Times New Roman=
"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is called the </span></span><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#006600;mso-far=
east-language:
 ZH-CN'><i>r</i></span></span><span style=3D'mso-bidi-font-family:"Times Ne=
w Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'><i>eal part</i></span></span><span style=3D'mso-bidi-font-family:"T=
imes New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> and </span></span></span><span
 style=3D'position:absolute;top:28.0%;left:5.24%;width:97.94%;height:5.25%'=
><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:\5B8B\4F53;mso-ascii-font-family:Arial;mso-fareast-fo=
nt-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>&plusmn;</span></span><span style=3D'mso-bidi-font-family:"Times Ne=
w Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>bi</span></span><span style=3D'mso-bidi-font-family:"Times New Roma=
n"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is called the </span></span><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'><i>imaginary part</i></span></span><span style=3D'mso-bidi-font-fam=
ily:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:Arial;mso-ascii=
-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:black;mso-color-index:3;mso-fareast-language:ZH-CN'> of
 the complex number</span></span></span></div>
 </div>
 <div v:shape=3D"_x0000_s131075" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:35.0%;left:5.24%;width:90.82%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>Example B.<span style=3D'mso-spacerun:yes'>&nbsp; </span>5 &#8211;
 3i,<span style=3D'mso-spacerun:yes'>&nbsp; </span>6i,<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>&#8211;<=
/span><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#00=
6600;
 mso-fareast-language:ZH-CN'>17 are complex numbers. &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:40.25%;left:5.24%;width:76.59%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>for 6i =3D 0 + 6i, </span><span lang=3DEN-US style=3D'font-size:133=
%;
 color:#006600;mso-fareast-language:ZH-CN'>&#8211;</span><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>17 =3D </span><span lang=3DEN-US style=3D'font-size:133%;color:#006=
600;
 mso-fareast-language:ZH-CN'>&#8211;</span><span lang=3DEN-US style=3D'mso-=
hansi-font-family:
 Arial;font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>17 + 0i.&#1=
3;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:45.75%;left:5.24%;width:91.76%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:Z=
H-CN'>In
 particular, every real number a is also a complex &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:51.0%;left:5.24%;width:76.59%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:Z=
H-CN'>because
 a =3D a + 0i. </span></div>
 </div>
 <div v:shape=3D"_x0000_s131076" class=3DO style=3D'position:absolute;top:1=
.0%;
 left:32.58%;width:44.38%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Complex Numbers<=
/span></div>
 <div v:shape=3D"_x0000_s131077" class=3DO>
 <div style=3D'position:absolute;top:57.49%;left:5.24%;width:93.07%;height:=
5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>(Addit=
ion and
 subtraction of complex numbers)&#13;</b></span></div>
 <span style=3D'position:absolute;top:63.0%;left:5.24%;width:110.11%;height=
:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Treat the
 &quot;i&quot; as a variable when adding or subtracting complex </span></sp=
an><span
 style=3D'position:absolute;top:68.25%;left:5.24%;width:93.07%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>numbers. =
</span></span></div>
 <div v:shape=3D"_x0000_s131078" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:75.25%;left:5.24%;width:75.46%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>Example
 C.&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:80.25%;left:5.24%;width:75.46%;height:2.0%'><span lang=3DEN-US
 style=3D'font-size:44%;color:#006600;mso-fareast-language:ZH-CN;display:no=
ne'>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:82.25%;left:5.24%;width:75.46%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>(7 + 4i)=
 + (5
 &#8211; 3i) </span></div>
 </div>
</p:slide></div>

</body>

</html>

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0074.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"
xmlns:o=3D"urn:schemas-microsoft-com:office:office"
xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"
xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"
xmlns=3D"http://www.w3.org/TR/REC-html40">

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DPowerPoint.Slide>
<meta name=3DGenerator content=3D"Microsoft PowerPoint 11">
<link id=3DMain-File rel=3DMain-File href=3D"../2ComplexNumbers.htm">
<link rel=3DPreview href=3Dpreview.wmf>
<!--[if !mso]>
<style>
v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
p\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
v\:textbox {display:none;}
</style>
<![endif]-->
<title>Complex Numbers</title>
<![if IE]>
<base href=3D"file:///C:\7102A2B3\2ComplexNumbers_files\slide0074.htm"
id=3D"webarch_temp_base_tag">
<![endif]>
<meta name=3DDescription content=3D"7/13/2008">
<link rel=3DStylesheet href=3D"master15_stylesheet.css">
<![if !ppt]>
<style>
.CB
	{color:black;}
</style>
<style media=3Dprint>
<!--.sld
	{left:0px !important;
	width:6.0in !important;
	height:4.5in !important;
	font-size:107% !important;}
-->
</style>
<script src=3Dscript.js></script><script><!--
if( !IsNts() ) Redirect( "PPTSld" );
//--></script><!--[if vml]><script>g_vml =3D 1;
</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit">
 <o:idmap v:ext=3D"edit" data=3D"129"/>
</o:shapelayout>
</head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'
onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"
onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;
width:534px;height:400px;font-size:16px;background-color:white;clip:rect(0%=
, 101%, 101%, 0%);
visibility:hidden'><p:slide coordsize=3D"720,540"
 colors=3D"#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
 masterhref=3D"master15.xml">
 <p:shaperange href=3D"master15.xml#_x0000_s98305"/><![if !ppt]><p:shaperan=
ge
  href=3D"master15.xml#_x0000_s98308"/><p:shaperange
  href=3D"master15.xml#_x0000_s98309"/><![endif]><p:shaperange
  href=3D"master15.xml#_x0000_m98307"/><v:shape id=3D"_x0000_s132098" type=
=3D"#_x0000_m98307"
  style=3D'position:absolute;left:30pt;top:48pt;width:672pt;height:402pt'>
  <v:fill o:detectmouseclick=3D"f"/>
  <v:stroke o:forcedash=3D"f"/>
  <o:lock v:ext=3D"edit" text=3D"f"/>
  <p:placeholder type=3D"subTitle" position=3D"1"/></v:shape><v:shapetype i=
d=3D"_x0000_t202"
  coordsize=3D"21600,21600" o:spt=3D"202" path=3D"m,l,21600r21600,l21600,xe=
">
  <v:stroke joinstyle=3D"miter"/>
  <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/>
 </v:shapetype><v:shape id=3D"_x0000_s132099" type=3D"#_x0000_t202" style=
=3D'position:absolute;
  left:30pt;top:183.75pt;width:564.375pt;height:122.25pt;mso-wrap-style:non=
e;
  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:rect id=3D"_x0000_s132100" style=3D'position:absolute;left:22=
8pt;
  top:0;width:279.125pt;height:45.625pt;mso-wrap-style:none;v-text-anchor:t=
op-baseline'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
 [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><v:rect id=3D"_x0000_s132101" style=3D'position:absolute;left:30p=
t;top:306pt;
  width:684pt;height:93.5pt;mso-wrap-style:square;v-text-anchor:top' filled=
=3D"f"
  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><v:shape id=3D"_x0000_s132102" type=3D"#_x0000_t202" style=3D'pos=
ition:absolute;
  left:30pt;top:400.875pt;width:556.25pt;height:74.375pt' filled=3D"f"
  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape>
 <div v:shape=3D"_x0000_s132098" class=3DCB>
 <div style=3D'text-align:left;position:absolute;top:9.75%;left:5.24%;width=
:91.57%;
 height:5.25%'><span style=3D'mso-bidi-font-family:"Times New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'>A </span></span><span style=3D'mso-bidi-font=
-family:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:Arial;mso-ascii=
-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:black;mso-color-index:3;mso-fareast-language:ZH-CN'><i=
>complex
 number</i></span></span><span style=3D'mso-bidi-font-family:"Times New Rom=
an"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is a number of the form &#13;</span></span>=
</div>
 <div style=3D'text-align:left;position:absolute;top:16.25%;left:5.24%;
 width:91.57%;height:5.25%'><span style=3D'mso-bidi-font-family:"Times New =
Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;
 </span></span></span><span style=3D'mso-bidi-font-family:"Times New Roman"=
'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'>a</span></span><span style=3D'mso-bidi-font-family:"Times New Roman=
"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> </span></span><span style=3D'mso-bidi-font-=
family:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-=
ascii-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:#F80629;mso-fareast-language:ZH-CN'>&plusmn;</span></s=
pan><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>bi&#13;</span></span></div>
 <div style=3D'text-align:left'><span style=3D'position:absolute;top:22.5%;
 left:5.24%;width:107.3%;height:5.25%'><span style=3D'mso-bidi-font-family:=
"Times New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'>where a and b are real numbers, </span></spa=
n><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'>a</span></span><span style=3D'mso-bidi-font-family:"Times New Roman=
"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is called the </span></span><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#006600;mso-far=
east-language:
 ZH-CN'><i>r</i></span></span><span style=3D'mso-bidi-font-family:"Times Ne=
w Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'><i>eal part</i></span></span><span style=3D'mso-bidi-font-family:"T=
imes New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> and </span></span></span><span
 style=3D'position:absolute;top:28.0%;left:5.24%;width:97.94%;height:5.25%'=
><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:\5B8B\4F53;mso-ascii-font-family:Arial;mso-fareast-fo=
nt-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>&plusmn;</span></span><span style=3D'mso-bidi-font-family:"Times Ne=
w Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>bi</span></span><span style=3D'mso-bidi-font-family:"Times New Roma=
n"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is called the </span></span><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'><i>imaginary part</i></span></span><span style=3D'mso-bidi-font-fam=
ily:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:Arial;mso-ascii=
-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:black;mso-color-index:3;mso-fareast-language:ZH-CN'> of
 the complex number</span></span></span></div>
 </div>
 <div v:shape=3D"_x0000_s132099" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:35.0%;left:5.24%;width:90.82%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>Example B.<span style=3D'mso-spacerun:yes'>&nbsp; </span>5 &#8211;
 3i,<span style=3D'mso-spacerun:yes'>&nbsp; </span>6i,<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>&#8211;<=
/span><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#00=
6600;
 mso-fareast-language:ZH-CN'>17 are complex numbers. &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:40.25%;left:5.24%;width:76.59%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>for 6i =3D 0 + 6i, </span><span lang=3DEN-US style=3D'font-size:133=
%;
 color:#006600;mso-fareast-language:ZH-CN'>&#8211;</span><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>17 =3D </span><span lang=3DEN-US style=3D'font-size:133%;color:#006=
600;
 mso-fareast-language:ZH-CN'>&#8211;</span><span lang=3DEN-US style=3D'mso-=
hansi-font-family:
 Arial;font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>17 + 0i.&#1=
3;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:45.75%;left:5.24%;width:91.76%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:Z=
H-CN'>In
 particular, every real number a is also a complex &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:51.0%;left:5.24%;width:76.59%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:Z=
H-CN'>because
 a =3D a + 0i. </span></div>
 </div>
 <div v:shape=3D"_x0000_s132100" class=3DO style=3D'position:absolute;top:1=
.0%;
 left:32.58%;width:44.38%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Complex Numbers<=
/span></div>
 <div v:shape=3D"_x0000_s132101" class=3DO>
 <div style=3D'position:absolute;top:57.49%;left:5.24%;width:93.07%;height:=
5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>(Addit=
ion and
 subtraction of complex numbers)&#13;</b></span></div>
 <span style=3D'position:absolute;top:63.0%;left:5.24%;width:110.11%;height=
:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Treat the
 &quot;i&quot; as a variable when adding or subtracting complex </span></sp=
an><span
 style=3D'position:absolute;top:68.25%;left:5.24%;width:93.07%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>numbers. =
</span></span></div>
 <div v:shape=3D"_x0000_s132102" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:75.25%;left:5.24%;width:75.46%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>Example
 C.&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:80.25%;left:5.24%;width:75.46%;height:2.0%'><span lang=3DEN-US
 style=3D'font-size:44%;color:#006600;mso-fareast-language:ZH-CN;display:no=
ne'>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:82.25%;left:5.24%;width:75.46%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>(7 + 4i)=
 + (5
 &#8211; 3i) =3D 7 + 4i + 5 &#8211; 3i </span></div>
 </div>
</p:slide></div>

</body>

</html>

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0075.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"
xmlns:o=3D"urn:schemas-microsoft-com:office:office"
xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"
xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"
xmlns=3D"http://www.w3.org/TR/REC-html40">

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DPowerPoint.Slide>
<meta name=3DGenerator content=3D"Microsoft PowerPoint 11">
<link id=3DMain-File rel=3DMain-File href=3D"../2ComplexNumbers.htm">
<link rel=3DPreview href=3Dpreview.wmf>
<!--[if !mso]>
<style>
v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
p\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
v\:textbox {display:none;}
</style>
<![endif]-->
<title>Complex Numbers</title>
<![if IE]>
<base href=3D"file:///C:\7102A2B3\2ComplexNumbers_files\slide0075.htm"
id=3D"webarch_temp_base_tag">
<![endif]>
<meta name=3DDescription content=3D"7/13/2008">
<link rel=3DStylesheet href=3D"master15_stylesheet.css">
<![if !ppt]>
<style>
.CB
	{color:black;}
</style>
<style media=3Dprint>
<!--.sld
	{left:0px !important;
	width:6.0in !important;
	height:4.5in !important;
	font-size:107% !important;}
-->
</style>
<script src=3Dscript.js></script><script><!--
if( !IsNts() ) Redirect( "PPTSld" );
//--></script><!--[if vml]><script>g_vml =3D 1;
</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit">
 <o:idmap v:ext=3D"edit" data=3D"130"/>
</o:shapelayout>
</head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'
onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"
onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;
width:534px;height:400px;font-size:16px;background-color:white;clip:rect(0%=
, 101%, 101%, 0%);
visibility:hidden'><p:slide coordsize=3D"720,540"
 colors=3D"#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
 masterhref=3D"master15.xml">
 <p:shaperange href=3D"master15.xml#_x0000_s98305"/><![if !ppt]><p:shaperan=
ge
  href=3D"master15.xml#_x0000_s98308"/><p:shaperange
  href=3D"master15.xml#_x0000_s98309"/><![endif]><p:shaperange
  href=3D"master15.xml#_x0000_m98307"/><v:shape id=3D"_x0000_s133122" type=
=3D"#_x0000_m98307"
  style=3D'position:absolute;left:30pt;top:48pt;width:672pt;height:402pt'>
  <v:fill o:detectmouseclick=3D"f"/>
  <v:stroke o:forcedash=3D"f"/>
  <o:lock v:ext=3D"edit" text=3D"f"/>
  <p:placeholder type=3D"subTitle" position=3D"1"/></v:shape><v:shapetype i=
d=3D"_x0000_t202"
  coordsize=3D"21600,21600" o:spt=3D"202" path=3D"m,l,21600r21600,l21600,xe=
">
  <v:stroke joinstyle=3D"miter"/>
  <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/>
 </v:shapetype><v:shape id=3D"_x0000_s133123" type=3D"#_x0000_t202" style=
=3D'position:absolute;
  left:30pt;top:183.75pt;width:564.375pt;height:122.25pt;mso-wrap-style:non=
e;
  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:rect id=3D"_x0000_s133124" style=3D'position:absolute;left:22=
8pt;
  top:0;width:279.125pt;height:45.625pt;mso-wrap-style:none;v-text-anchor:t=
op-baseline'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
 [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><v:rect id=3D"_x0000_s133125" style=3D'position:absolute;left:30p=
t;top:306pt;
  width:684pt;height:93.5pt;mso-wrap-style:square;v-text-anchor:top' filled=
=3D"f"
  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><v:shape id=3D"_x0000_s133126" type=3D"#_x0000_t202" style=3D'pos=
ition:absolute;
  left:30pt;top:400.875pt;width:556.25pt;height:74.375pt' filled=3D"f"
  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape>
 <div v:shape=3D"_x0000_s133122" class=3DCB>
 <div style=3D'text-align:left;position:absolute;top:9.75%;left:5.24%;width=
:91.57%;
 height:5.25%'><span style=3D'mso-bidi-font-family:"Times New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'>A </span></span><span style=3D'mso-bidi-font=
-family:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:Arial;mso-ascii=
-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:black;mso-color-index:3;mso-fareast-language:ZH-CN'><i=
>complex
 number</i></span></span><span style=3D'mso-bidi-font-family:"Times New Rom=
an"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is a number of the form &#13;</span></span>=
</div>
 <div style=3D'text-align:left;position:absolute;top:16.25%;left:5.24%;
 width:91.57%;height:5.25%'><span style=3D'mso-bidi-font-family:"Times New =
Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;
 </span></span></span><span style=3D'mso-bidi-font-family:"Times New Roman"=
'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'>a</span></span><span style=3D'mso-bidi-font-family:"Times New Roman=
"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> </span></span><span style=3D'mso-bidi-font-=
family:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-=
ascii-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:#F80629;mso-fareast-language:ZH-CN'>&plusmn;</span></s=
pan><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>bi&#13;</span></span></div>
 <div style=3D'text-align:left'><span style=3D'position:absolute;top:22.5%;
 left:5.24%;width:107.3%;height:5.25%'><span style=3D'mso-bidi-font-family:=
"Times New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'>where a and b are real numbers, </span></spa=
n><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'>a</span></span><span style=3D'mso-bidi-font-family:"Times New Roman=
"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is called the </span></span><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#006600;mso-far=
east-language:
 ZH-CN'><i>r</i></span></span><span style=3D'mso-bidi-font-family:"Times Ne=
w Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'><i>eal part</i></span></span><span style=3D'mso-bidi-font-family:"T=
imes New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> and </span></span></span><span
 style=3D'position:absolute;top:28.0%;left:5.24%;width:97.94%;height:5.25%'=
><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:\5B8B\4F53;mso-ascii-font-family:Arial;mso-fareast-fo=
nt-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>&plusmn;</span></span><span style=3D'mso-bidi-font-family:"Times Ne=
w Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>bi</span></span><span style=3D'mso-bidi-font-family:"Times New Roma=
n"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is called the </span></span><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'><i>imaginary part</i></span></span><span style=3D'mso-bidi-font-fam=
ily:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:Arial;mso-ascii=
-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:black;mso-color-index:3;mso-fareast-language:ZH-CN'> of
 the complex number</span></span></span></div>
 </div>
 <div v:shape=3D"_x0000_s133123" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:35.0%;left:5.24%;width:90.82%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>Example B.<span style=3D'mso-spacerun:yes'>&nbsp; </span>5 &#8211;
 3i,<span style=3D'mso-spacerun:yes'>&nbsp; </span>6i,<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>&#8211;<=
/span><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#00=
6600;
 mso-fareast-language:ZH-CN'>17 are complex numbers. &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:40.25%;left:5.24%;width:76.59%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>for 6i =3D 0 + 6i, </span><span lang=3DEN-US style=3D'font-size:133=
%;
 color:#006600;mso-fareast-language:ZH-CN'>&#8211;</span><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>17 =3D </span><span lang=3DEN-US style=3D'font-size:133%;color:#006=
600;
 mso-fareast-language:ZH-CN'>&#8211;</span><span lang=3DEN-US style=3D'mso-=
hansi-font-family:
 Arial;font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>17 + 0i.&#1=
3;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:45.75%;left:5.24%;width:91.76%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:Z=
H-CN'>In
 particular, every real number a is also a complex &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:51.0%;left:5.24%;width:76.59%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:Z=
H-CN'>because
 a =3D a + 0i. </span></div>
 </div>
 <div v:shape=3D"_x0000_s133124" class=3DO style=3D'position:absolute;top:1=
.0%;
 left:32.58%;width:44.38%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Complex Numbers<=
/span></div>
 <div v:shape=3D"_x0000_s133125" class=3DO>
 <div style=3D'position:absolute;top:57.49%;left:5.24%;width:93.07%;height:=
5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>(Addit=
ion and
 subtraction of complex numbers)&#13;</b></span></div>
 <span style=3D'position:absolute;top:63.0%;left:5.24%;width:110.11%;height=
:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Treat the
 &quot;i&quot; as a variable when adding or subtracting complex </span></sp=
an><span
 style=3D'position:absolute;top:68.25%;left:5.24%;width:93.07%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>numbers. =
</span></span></div>
 <div v:shape=3D"_x0000_s133126" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:75.25%;left:5.24%;width:75.46%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>Example
 C.&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:80.25%;left:5.24%;width:75.46%;height:2.0%'><span lang=3DEN-US
 style=3D'font-size:44%;color:#006600;mso-fareast-language:ZH-CN;display:no=
ne'>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:82.25%;left:5.24%;width:75.46%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>(7 + 4i)=
 + (5
 &#8211; 3i) =3D 7 + 4i + 5 &#8211; 3i =3D 12 + i</span></div>
 </div>
</p:slide></div>

</body>

</html>

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0076.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"
xmlns:o=3D"urn:schemas-microsoft-com:office:office"
xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"
xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"
xmlns=3D"http://www.w3.org/TR/REC-html40">

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DPowerPoint.Slide>
<meta name=3DGenerator content=3D"Microsoft PowerPoint 11">
<link id=3DMain-File rel=3DMain-File href=3D"../2ComplexNumbers.htm">
<link rel=3DPreview href=3Dpreview.wmf>
<!--[if !mso]>
<style>
v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
p\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
v\:textbox {display:none;}
</style>
<![endif]-->
<title>Complex Numbers</title>
<![if IE]>
<base href=3D"file:///C:\7102A2B3\2ComplexNumbers_files\slide0076.htm"
id=3D"webarch_temp_base_tag">
<![endif]>
<meta name=3DDescription content=3D"7/13/2008">
<link rel=3DStylesheet href=3D"master15_stylesheet.css">
<![if !ppt]>
<style>
.CB
	{color:black;}
</style>
<style media=3Dprint>
<!--.sld
	{left:0px !important;
	width:6.0in !important;
	height:4.5in !important;
	font-size:107% !important;}
-->
</style>
<script src=3Dscript.js></script><script><!--
if( !IsNts() ) Redirect( "PPTSld" );
//--></script><!--[if vml]><script>g_vml =3D 1;
</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit">
 <o:idmap v:ext=3D"edit" data=3D"131"/>
</o:shapelayout>
</head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'
onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"
onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;
width:534px;height:400px;font-size:16px;background-color:white;clip:rect(0%=
, 101%, 101%, 0%);
visibility:hidden'><p:slide coordsize=3D"720,540"
 colors=3D"#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
 masterhref=3D"master15.xml">
 <p:shaperange href=3D"master15.xml#_x0000_s98305"/><![if !ppt]><p:shaperan=
ge
  href=3D"master15.xml#_x0000_s98308"/><p:shaperange
  href=3D"master15.xml#_x0000_s98309"/><![endif]><p:shaperange
  href=3D"master15.xml#_x0000_m98307"/><v:shape id=3D"_x0000_s134146" type=
=3D"#_x0000_m98307"
  style=3D'position:absolute;left:30pt;top:48pt;width:672pt;height:402pt'>
  <v:fill o:detectmouseclick=3D"f"/>
  <v:stroke o:forcedash=3D"f"/>
  <o:lock v:ext=3D"edit" text=3D"f"/>
  <p:placeholder type=3D"subTitle" position=3D"1"/></v:shape><v:shapetype i=
d=3D"_x0000_t202"
  coordsize=3D"21600,21600" o:spt=3D"202" path=3D"m,l,21600r21600,l21600,xe=
">
  <v:stroke joinstyle=3D"miter"/>
  <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/>
 </v:shapetype><v:shape id=3D"_x0000_s134147" type=3D"#_x0000_t202" style=
=3D'position:absolute;
  left:30pt;top:183.75pt;width:564.375pt;height:122.25pt;mso-wrap-style:non=
e;
  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:rect id=3D"_x0000_s134148" style=3D'position:absolute;left:22=
8pt;
  top:0;width:279.125pt;height:45.625pt;mso-wrap-style:none;v-text-anchor:t=
op-baseline'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
 [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><v:rect id=3D"_x0000_s134149" style=3D'position:absolute;left:30p=
t;top:306pt;
  width:684pt;height:93.5pt;mso-wrap-style:square;v-text-anchor:top' filled=
=3D"f"
  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><v:shape id=3D"_x0000_s134150" type=3D"#_x0000_t202" style=3D'pos=
ition:absolute;
  left:30pt;top:400.875pt;width:556.25pt;height:103.125pt' filled=3D"f"
  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape>
 <div v:shape=3D"_x0000_s134146" class=3DCB>
 <div style=3D'text-align:left;position:absolute;top:9.75%;left:5.24%;width=
:91.57%;
 height:5.25%'><span style=3D'mso-bidi-font-family:"Times New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'>A </span></span><span style=3D'mso-bidi-font=
-family:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:Arial;mso-ascii=
-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:black;mso-color-index:3;mso-fareast-language:ZH-CN'><i=
>complex
 number</i></span></span><span style=3D'mso-bidi-font-family:"Times New Rom=
an"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is a number of the form &#13;</span></span>=
</div>
 <div style=3D'text-align:left;position:absolute;top:16.25%;left:5.24%;
 width:91.57%;height:5.25%'><span style=3D'mso-bidi-font-family:"Times New =
Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;
 </span></span></span><span style=3D'mso-bidi-font-family:"Times New Roman"=
'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'>a</span></span><span style=3D'mso-bidi-font-family:"Times New Roman=
"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> </span></span><span style=3D'mso-bidi-font-=
family:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-=
ascii-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:#F80629;mso-fareast-language:ZH-CN'>&plusmn;</span></s=
pan><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>bi&#13;</span></span></div>
 <div style=3D'text-align:left'><span style=3D'position:absolute;top:22.5%;
 left:5.24%;width:107.3%;height:5.25%'><span style=3D'mso-bidi-font-family:=
"Times New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'>where a and b are real numbers, </span></spa=
n><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'>a</span></span><span style=3D'mso-bidi-font-family:"Times New Roman=
"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is called the </span></span><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#006600;mso-far=
east-language:
 ZH-CN'><i>r</i></span></span><span style=3D'mso-bidi-font-family:"Times Ne=
w Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'><i>eal part</i></span></span><span style=3D'mso-bidi-font-family:"T=
imes New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> and </span></span></span><span
 style=3D'position:absolute;top:28.0%;left:5.24%;width:97.94%;height:5.25%'=
><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:\5B8B\4F53;mso-ascii-font-family:Arial;mso-fareast-fo=
nt-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>&plusmn;</span></span><span style=3D'mso-bidi-font-family:"Times Ne=
w Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>bi</span></span><span style=3D'mso-bidi-font-family:"Times New Roma=
n"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is called the </span></span><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'><i>imaginary part</i></span></span><span style=3D'mso-bidi-font-fam=
ily:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:Arial;mso-ascii=
-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:black;mso-color-index:3;mso-fareast-language:ZH-CN'> of
 the complex number</span></span></span></div>
 </div>
 <div v:shape=3D"_x0000_s134147" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:35.0%;left:5.24%;width:90.82%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>Example B.<span style=3D'mso-spacerun:yes'>&nbsp; </span>5 &#8211;
 3i,<span style=3D'mso-spacerun:yes'>&nbsp; </span>6i,<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>&#8211;<=
/span><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#00=
6600;
 mso-fareast-language:ZH-CN'>17 are complex numbers. &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:40.25%;left:5.24%;width:76.59%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>for 6i =3D 0 + 6i, </span><span lang=3DEN-US style=3D'font-size:133=
%;
 color:#006600;mso-fareast-language:ZH-CN'>&#8211;</span><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>17 =3D </span><span lang=3DEN-US style=3D'font-size:133%;color:#006=
600;
 mso-fareast-language:ZH-CN'>&#8211;</span><span lang=3DEN-US style=3D'mso-=
hansi-font-family:
 Arial;font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>17 + 0i.&#1=
3;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:45.75%;left:5.24%;width:91.76%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:Z=
H-CN'>In
 particular, every real number a is also a complex &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:51.0%;left:5.24%;width:76.59%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:Z=
H-CN'>because
 a =3D a + 0i. </span></div>
 </div>
 <div v:shape=3D"_x0000_s134148" class=3DO style=3D'position:absolute;top:1=
.0%;
 left:32.58%;width:44.38%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Complex Numbers<=
/span></div>
 <div v:shape=3D"_x0000_s134149" class=3DO>
 <div style=3D'position:absolute;top:57.49%;left:5.24%;width:93.07%;height:=
5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>(Addit=
ion and
 subtraction of complex numbers)&#13;</b></span></div>
 <span style=3D'position:absolute;top:63.0%;left:5.24%;width:110.11%;height=
:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Treat the
 &quot;i&quot; as a variable when adding or subtracting complex </span></sp=
an><span
 style=3D'position:absolute;top:68.25%;left:5.24%;width:93.07%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>numbers. =
</span></span></div>
 <div v:shape=3D"_x0000_s134150" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:75.25%;left:5.24%;width:75.46%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>Example
 C.&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:80.25%;left:5.24%;width:75.46%;height:2.0%'><span lang=3DEN-US
 style=3D'font-size:44%;color:#006600;mso-fareast-language:ZH-CN;display:no=
ne'>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:82.25%;left:5.24%;width:75.46%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>(7 + 4i)=
 + (5
 &#8211; 3i) =3D 7 + 4i + 5 &#8211; 3i =3D 12 + i&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:87.5%;left:5.24%;width:75.46%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>(7 + 4i)
 &#8211; (5 &#8211; 3i) </span></div>
 </div>
</p:slide></div>

</body>

</html>

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0077.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"
xmlns:o=3D"urn:schemas-microsoft-com:office:office"
xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"
xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"
xmlns=3D"http://www.w3.org/TR/REC-html40">

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DPowerPoint.Slide>
<meta name=3DGenerator content=3D"Microsoft PowerPoint 11">
<link id=3DMain-File rel=3DMain-File href=3D"../2ComplexNumbers.htm">
<link rel=3DPreview href=3Dpreview.wmf>
<!--[if !mso]>
<style>
v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
p\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
v\:textbox {display:none;}
</style>
<![endif]-->
<title>Complex Numbers</title>
<![if IE]>
<base href=3D"file:///C:\7102A2B3\2ComplexNumbers_files\slide0077.htm"
id=3D"webarch_temp_base_tag">
<![endif]>
<meta name=3DDescription content=3D"7/13/2008">
<link rel=3DStylesheet href=3D"master15_stylesheet.css">
<![if !ppt]>
<style>
.CB
	{color:black;}
</style>
<style media=3Dprint>
<!--.sld
	{left:0px !important;
	width:6.0in !important;
	height:4.5in !important;
	font-size:107% !important;}
-->
</style>
<script src=3Dscript.js></script><script><!--
if( !IsNts() ) Redirect( "PPTSld" );
//--></script><!--[if vml]><script>g_vml =3D 1;
</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit">
 <o:idmap v:ext=3D"edit" data=3D"132"/>
</o:shapelayout>
</head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'
onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"
onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;
width:534px;height:400px;font-size:16px;background-color:white;clip:rect(0%=
, 101%, 101%, 0%);
visibility:hidden'><p:slide coordsize=3D"720,540"
 colors=3D"#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
 masterhref=3D"master15.xml">
 <p:shaperange href=3D"master15.xml#_x0000_s98305"/><![if !ppt]><p:shaperan=
ge
  href=3D"master15.xml#_x0000_s98308"/><p:shaperange
  href=3D"master15.xml#_x0000_s98309"/><![endif]><p:shaperange
  href=3D"master15.xml#_x0000_m98307"/><v:shape id=3D"_x0000_s135170" type=
=3D"#_x0000_m98307"
  style=3D'position:absolute;left:30pt;top:48pt;width:672pt;height:402pt'>
  <v:fill o:detectmouseclick=3D"f"/>
  <v:stroke o:forcedash=3D"f"/>
  <o:lock v:ext=3D"edit" text=3D"f"/>
  <p:placeholder type=3D"subTitle" position=3D"1"/></v:shape><v:shapetype i=
d=3D"_x0000_t202"
  coordsize=3D"21600,21600" o:spt=3D"202" path=3D"m,l,21600r21600,l21600,xe=
">
  <v:stroke joinstyle=3D"miter"/>
  <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/>
 </v:shapetype><v:shape id=3D"_x0000_s135171" type=3D"#_x0000_t202" style=
=3D'position:absolute;
  left:30pt;top:183.75pt;width:564.375pt;height:122.25pt;mso-wrap-style:non=
e;
  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:rect id=3D"_x0000_s135172" style=3D'position:absolute;left:22=
8pt;
  top:0;width:279.125pt;height:45.625pt;mso-wrap-style:none;v-text-anchor:t=
op-baseline'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
 [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><v:rect id=3D"_x0000_s135173" style=3D'position:absolute;left:30p=
t;top:306pt;
  width:684pt;height:93.5pt;mso-wrap-style:square;v-text-anchor:top' filled=
=3D"f"
  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><v:shape id=3D"_x0000_s135174" type=3D"#_x0000_t202" style=3D'pos=
ition:absolute;
  left:30pt;top:400.875pt;width:556.25pt;height:103.125pt' filled=3D"f"
  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape>
 <div v:shape=3D"_x0000_s135170" class=3DCB>
 <div style=3D'text-align:left;position:absolute;top:9.75%;left:5.24%;width=
:91.57%;
 height:5.25%'><span style=3D'mso-bidi-font-family:"Times New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'>A </span></span><span style=3D'mso-bidi-font=
-family:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:Arial;mso-ascii=
-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:black;mso-color-index:3;mso-fareast-language:ZH-CN'><i=
>complex
 number</i></span></span><span style=3D'mso-bidi-font-family:"Times New Rom=
an"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is a number of the form &#13;</span></span>=
</div>
 <div style=3D'text-align:left;position:absolute;top:16.25%;left:5.24%;
 width:91.57%;height:5.25%'><span style=3D'mso-bidi-font-family:"Times New =
Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;
 </span></span></span><span style=3D'mso-bidi-font-family:"Times New Roman"=
'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'>a</span></span><span style=3D'mso-bidi-font-family:"Times New Roman=
"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> </span></span><span style=3D'mso-bidi-font-=
family:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-=
ascii-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:#F80629;mso-fareast-language:ZH-CN'>&plusmn;</span></s=
pan><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>bi&#13;</span></span></div>
 <div style=3D'text-align:left'><span style=3D'position:absolute;top:22.5%;
 left:5.24%;width:107.3%;height:5.25%'><span style=3D'mso-bidi-font-family:=
"Times New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'>where a and b are real numbers, </span></spa=
n><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'>a</span></span><span style=3D'mso-bidi-font-family:"Times New Roman=
"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is called the </span></span><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#006600;mso-far=
east-language:
 ZH-CN'><i>r</i></span></span><span style=3D'mso-bidi-font-family:"Times Ne=
w Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'><i>eal part</i></span></span><span style=3D'mso-bidi-font-family:"T=
imes New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> and </span></span></span><span
 style=3D'position:absolute;top:28.0%;left:5.24%;width:97.94%;height:5.25%'=
><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:\5B8B\4F53;mso-ascii-font-family:Arial;mso-fareast-fo=
nt-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>&plusmn;</span></span><span style=3D'mso-bidi-font-family:"Times Ne=
w Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>bi</span></span><span style=3D'mso-bidi-font-family:"Times New Roma=
n"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is called the </span></span><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'><i>imaginary part</i></span></span><span style=3D'mso-bidi-font-fam=
ily:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:Arial;mso-ascii=
-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:black;mso-color-index:3;mso-fareast-language:ZH-CN'> of
 the complex number</span></span></span></div>
 </div>
 <div v:shape=3D"_x0000_s135171" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:35.0%;left:5.24%;width:90.82%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>Example B.<span style=3D'mso-spacerun:yes'>&nbsp; </span>5 &#8211;
 3i,<span style=3D'mso-spacerun:yes'>&nbsp; </span>6i,<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>&#8211;<=
/span><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#00=
6600;
 mso-fareast-language:ZH-CN'>17 are complex numbers. &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:40.25%;left:5.24%;width:76.59%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>for 6i =3D 0 + 6i, </span><span lang=3DEN-US style=3D'font-size:133=
%;
 color:#006600;mso-fareast-language:ZH-CN'>&#8211;</span><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>17 =3D </span><span lang=3DEN-US style=3D'font-size:133%;color:#006=
600;
 mso-fareast-language:ZH-CN'>&#8211;</span><span lang=3DEN-US style=3D'mso-=
hansi-font-family:
 Arial;font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>17 + 0i.&#1=
3;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:45.75%;left:5.24%;width:91.76%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:Z=
H-CN'>In
 particular, every real number a is also a complex &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:51.0%;left:5.24%;width:76.59%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:Z=
H-CN'>because
 a =3D a + 0i. </span></div>
 </div>
 <div v:shape=3D"_x0000_s135172" class=3DO style=3D'position:absolute;top:1=
.0%;
 left:32.58%;width:44.38%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Complex Numbers<=
/span></div>
 <div v:shape=3D"_x0000_s135173" class=3DO>
 <div style=3D'position:absolute;top:57.49%;left:5.24%;width:93.07%;height:=
5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>(Addit=
ion and
 subtraction of complex numbers)&#13;</b></span></div>
 <span style=3D'position:absolute;top:63.0%;left:5.24%;width:110.11%;height=
:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Treat the
 &quot;i&quot; as a variable when adding or subtracting complex </span></sp=
an><span
 style=3D'position:absolute;top:68.25%;left:5.24%;width:93.07%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>numbers. =
</span></span></div>
 <div v:shape=3D"_x0000_s135174" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:75.25%;left:5.24%;width:75.46%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>Example
 C.&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:80.25%;left:5.24%;width:75.46%;height:2.0%'><span lang=3DEN-US
 style=3D'font-size:44%;color:#006600;mso-fareast-language:ZH-CN;display:no=
ne'>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:82.25%;left:5.24%;width:75.46%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>(7 + 4i)=
 + (5
 &#8211; 3i) =3D 7 + 4i + 5 &#8211; 3i =3D 12 + i&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:87.5%;left:5.24%;width:75.46%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>(7 + 4i)
 &#8211; (5 &#8211; 3i) =3D 7 + 4i &#8211; 5 + 3i </span></div>
 </div>
</p:slide></div>

</body>

</html>

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0078.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"
xmlns:o=3D"urn:schemas-microsoft-com:office:office"
xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"
xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"
xmlns=3D"http://www.w3.org/TR/REC-html40">

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DPowerPoint.Slide>
<meta name=3DGenerator content=3D"Microsoft PowerPoint 11">
<link id=3DMain-File rel=3DMain-File href=3D"../2ComplexNumbers.htm">
<link rel=3DPreview href=3Dpreview.wmf>
<!--[if !mso]>
<style>
v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
p\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
v\:textbox {display:none;}
</style>
<![endif]-->
<title>Complex Numbers</title>
<![if IE]>
<base href=3D"file:///C:\7102A2B3\2ComplexNumbers_files\slide0078.htm"
id=3D"webarch_temp_base_tag">
<![endif]>
<meta name=3DDescription content=3D"7/13/2008">
<link rel=3DStylesheet href=3D"master15_stylesheet.css">
<![if !ppt]>
<style>
.CB
	{color:black;}
</style>
<style media=3Dprint>
<!--.sld
	{left:0px !important;
	width:6.0in !important;
	height:4.5in !important;
	font-size:107% !important;}
-->
</style>
<script src=3Dscript.js></script><script><!--
if( !IsNts() ) Redirect( "PPTSld" );
//--></script><!--[if vml]><script>g_vml =3D 1;
</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit">
 <o:idmap v:ext=3D"edit" data=3D"133"/>
</o:shapelayout>
</head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'
onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"
onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;
width:534px;height:400px;font-size:16px;background-color:white;clip:rect(0%=
, 101%, 101%, 0%);
visibility:hidden'><p:slide coordsize=3D"720,540"
 colors=3D"#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
 masterhref=3D"master15.xml">
 <p:shaperange href=3D"master15.xml#_x0000_s98305"/><![if !ppt]><p:shaperan=
ge
  href=3D"master15.xml#_x0000_s98308"/><p:shaperange
  href=3D"master15.xml#_x0000_s98309"/><![endif]><p:shaperange
  href=3D"master15.xml#_x0000_m98307"/><v:shape id=3D"_x0000_s136194" type=
=3D"#_x0000_m98307"
  style=3D'position:absolute;left:30pt;top:48pt;width:672pt;height:402pt'>
  <v:fill o:detectmouseclick=3D"f"/>
  <v:stroke o:forcedash=3D"f"/>
  <o:lock v:ext=3D"edit" text=3D"f"/>
  <p:placeholder type=3D"subTitle" position=3D"1"/></v:shape><v:shapetype i=
d=3D"_x0000_t202"
  coordsize=3D"21600,21600" o:spt=3D"202" path=3D"m,l,21600r21600,l21600,xe=
">
  <v:stroke joinstyle=3D"miter"/>
  <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/>
 </v:shapetype><v:shape id=3D"_x0000_s136195" type=3D"#_x0000_t202" style=
=3D'position:absolute;
  left:30pt;top:183.75pt;width:564.375pt;height:122.25pt;mso-wrap-style:non=
e;
  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:rect id=3D"_x0000_s136196" style=3D'position:absolute;left:22=
8pt;
  top:0;width:279.125pt;height:45.625pt;mso-wrap-style:none;v-text-anchor:t=
op-baseline'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
 [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><v:rect id=3D"_x0000_s136197" style=3D'position:absolute;left:30p=
t;top:306pt;
  width:684pt;height:93.5pt;mso-wrap-style:square;v-text-anchor:top' filled=
=3D"f"
  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><v:shape id=3D"_x0000_s136198" type=3D"#_x0000_t202" style=3D'pos=
ition:absolute;
  left:30pt;top:400.875pt;width:556.25pt;height:103.125pt' filled=3D"f"
  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape>
 <div v:shape=3D"_x0000_s136194" class=3DCB>
 <div style=3D'text-align:left;position:absolute;top:9.75%;left:5.24%;width=
:91.57%;
 height:5.25%'><span style=3D'mso-bidi-font-family:"Times New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'>A </span></span><span style=3D'mso-bidi-font=
-family:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:Arial;mso-ascii=
-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:black;mso-color-index:3;mso-fareast-language:ZH-CN'><i=
>complex
 number</i></span></span><span style=3D'mso-bidi-font-family:"Times New Rom=
an"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is a number of the form &#13;</span></span>=
</div>
 <div style=3D'text-align:left;position:absolute;top:16.25%;left:5.24%;
 width:91.57%;height:5.25%'><span style=3D'mso-bidi-font-family:"Times New =
Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;
 </span></span></span><span style=3D'mso-bidi-font-family:"Times New Roman"=
'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'>a</span></span><span style=3D'mso-bidi-font-family:"Times New Roman=
"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> </span></span><span style=3D'mso-bidi-font-=
family:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-=
ascii-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:#F80629;mso-fareast-language:ZH-CN'>&plusmn;</span></s=
pan><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>bi&#13;</span></span></div>
 <div style=3D'text-align:left'><span style=3D'position:absolute;top:22.5%;
 left:5.24%;width:107.3%;height:5.25%'><span style=3D'mso-bidi-font-family:=
"Times New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'>where a and b are real numbers, </span></spa=
n><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'>a</span></span><span style=3D'mso-bidi-font-family:"Times New Roman=
"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is called the </span></span><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#006600;mso-far=
east-language:
 ZH-CN'><i>r</i></span></span><span style=3D'mso-bidi-font-family:"Times Ne=
w Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:green;mso-farea=
st-language:
 ZH-CN'><i>eal part</i></span></span><span style=3D'mso-bidi-font-family:"T=
imes New Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> and </span></span></span><span
 style=3D'position:absolute;top:28.0%;left:5.24%;width:97.94%;height:5.25%'=
><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:\5B8B\4F53;mso-ascii-font-family:Arial;mso-fareast-fo=
nt-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>&plusmn;</span></span><span style=3D'mso-bidi-font-family:"Times Ne=
w Roman"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'>bi</span></span><span style=3D'mso-bidi-font-family:"Times New Roma=
n"'><span
 lang=3DEN-US style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fa=
reast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:black;mso-color=
-index:
 3;mso-fareast-language:ZH-CN'> is called the </span></span><span
 style=3D'mso-bidi-font-family:"Times New Roman"'><span lang=3DEN-US
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-fareast-font-fa=
mily:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:75%;color:#F80629;mso-far=
east-language:
 ZH-CN'><i>imaginary part</i></span></span><span style=3D'mso-bidi-font-fam=
ily:
 "Times New Roman"'><span lang=3DEN-US style=3D'font-family:Arial;mso-ascii=
-font-family:
 Arial;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:75%;color:black;mso-color-index:3;mso-fareast-language:ZH-CN'> of
 the complex number</span></span></span></div>
 </div>
 <div v:shape=3D"_x0000_s136195" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:35.0%;left:5.24%;width:90.82%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>Example B.<span style=3D'mso-spacerun:yes'>&nbsp; </span>5 &#8211;
 3i,<span style=3D'mso-spacerun:yes'>&nbsp; </span>6i,<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>&#8211;<=
/span><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#00=
6600;
 mso-fareast-language:ZH-CN'>17 are complex numbers. &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:40.25%;left:5.24%;width:76.59%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>for 6i =3D 0 + 6i, </span><span lang=3DEN-US style=3D'font-size:133=
%;
 color:#006600;mso-fareast-language:ZH-CN'>&#8211;</span><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;color:#006600;mso-fare=
ast-language:
 ZH-CN'>17 =3D </span><span lang=3DEN-US style=3D'font-size:133%;color:#006=
600;
 mso-fareast-language:ZH-CN'>&#8211;</span><span lang=3DEN-US style=3D'mso-=
hansi-font-family:
 Arial;font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>17 + 0i.&#1=
3;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:45.75%;left:5.24%;width:91.76%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:Z=
H-CN'>In
 particular, every real number a is also a complex &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:51.0%;left:5.24%;width:76.59%;height:5.25%'><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:Z=
H-CN'>because
 a =3D a + 0i. </span></div>
 </div>
 <div v:shape=3D"_x0000_s136196" class=3DO style=3D'position:absolute;top:1=
.0%;
 left:32.58%;width:44.38%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Complex Numbers<=
/span></div>
 <div v:shape=3D"_x0000_s136197" class=3DO>
 <div style=3D'position:absolute;top:57.49%;left:5.24%;width:93.07%;height:=
5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>(Addit=
ion and
 subtraction of complex numbers)&#13;</b></span></div>
 <span style=3D'position:absolute;top:63.0%;left:5.24%;width:110.11%;height=
:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Treat the
 &quot;i&quot; as a variable when adding or subtracting complex </span></sp=
an><span
 style=3D'position:absolute;top:68.25%;left:5.24%;width:93.07%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>numbers. =
</span></span></div>
 <div v:shape=3D"_x0000_s136198" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:75.25%;left:5.24%;width:75.46%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>Example
 C.&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:80.25%;left:5.24%;width:75.46%;height:2.0%'><span lang=3DEN-US
 style=3D'font-size:44%;color:#006600;mso-fareast-language:ZH-CN;display:no=
ne'>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:82.25%;left:5.24%;width:75.46%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>(7 + 4i)=
 + (5
 &#8211; 3i) =3D 7 + 4i + 5 &#8211; 3i =3D 12 + i&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:87.5%;left:5.24%;width:75.46%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#006600;mso-fareast-language:ZH-CN'>(7 + 4i)
 &#8211; (5 &#8211; 3i) =3D 7 + 4i &#8211; 5 + 3i =3D 2 + 7i</span></div>
 </div>
</p:slide></div>

</body>

</html>

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/master15_stylesheet.css
Content-Transfer-Encoding: base64
Content-Type: text/css

Ym9keQ0KCXt3aWR0aDo1MzRweDsNCgloZWlnaHQ6NDAwcHg7fQ0KLlRCDQoJe21zby1zcGVjaWFs
LWZvcm1hdDpub2J1bGxldFwyMDIyO30NCi5UDQoJe3RleHQtYWxpZ246Y2VudGVyOw0KCWZvbnQt
ZmFtaWx5OkFyaWFsOw0KCWNvbG9yOmJsYWNrOw0KCW1zby1jb2xvci1pbmRleDozOw0KCWZvbnQt
c2l6ZToyMDklOw0KCW1zby1jaGFyLXdyYXA6MTsNCgltc28ta2luc29rdS1vdmVyZmxvdzoxO30N
Ci5CQg0KCXttc28tc3BlY2lhbC1mb3JtYXQ6YnVsbGV0XDIwMjI7fQ0KLkINCgl7dGV4dC1hbGln
bjpsZWZ0Ow0KCWZvbnQtZmFtaWx5OkFyaWFsOw0KCWNvbG9yOmJsYWNrOw0KCW1zby1jb2xvci1p
bmRleDoxOw0KCWZvbnQtc2l6ZToxNTIlOw0KCW1zby1jaGFyLXdyYXA6MTsNCgltc28ta2luc29r
dS1vdmVyZmxvdzoxO30NCi5CMUINCgl7bXNvLXNwZWNpYWwtZm9ybWF0OmJ1bGxldFwyMDEzO30N
Ci5CMQ0KCXt0ZXh0LWFsaWduOmxlZnQ7DQoJZm9udC1mYW1pbHk6QXJpYWw7DQoJY29sb3I6Ymxh
Y2s7DQoJbXNvLWNvbG9yLWluZGV4OjE7DQoJZm9udC1zaXplOjEzMyU7DQoJbXNvLWNoYXItd3Jh
cDoxOw0KCW1zby1raW5zb2t1LW92ZXJmbG93OjE7fQ0KLkIyQg0KCXttc28tc3BlY2lhbC1mb3Jt
YXQ6YnVsbGV0XDIwMjI7fQ0KLkIyDQoJe3RleHQtYWxpZ246bGVmdDsNCglmb250LWZhbWlseTpB
cmlhbDsNCgljb2xvcjpibGFjazsNCgltc28tY29sb3ItaW5kZXg6MTsNCglmb250LXNpemU6MTE0
JTsNCgltc28tY2hhci13cmFwOjE7DQoJbXNvLWtpbnNva3Utb3ZlcmZsb3c6MTt9DQouQjNCDQoJ
e21zby1zcGVjaWFsLWZvcm1hdDpidWxsZXRcMjAxMzt9DQouQjMNCgl7dGV4dC1hbGlnbjpsZWZ0
Ow0KCWZvbnQtZmFtaWx5OkFyaWFsOw0KCWNvbG9yOmJsYWNrOw0KCW1zby1jb2xvci1pbmRleDox
Ow0KCWZvbnQtc2l6ZTo5NSU7DQoJbXNvLWNoYXItd3JhcDoxOw0KCW1zby1raW5zb2t1LW92ZXJm
bG93OjE7fQ0KLkI0Qg0KCXttc28tc3BlY2lhbC1mb3JtYXQ6YnVsbGV0XDAwQkI7fQ0KLkI0DQoJ
e3RleHQtYWxpZ246bGVmdDsNCglmb250LWZhbWlseTpBcmlhbDsNCgljb2xvcjpibGFjazsNCglt
c28tY29sb3ItaW5kZXg6MTsNCglmb250LXNpemU6OTUlOw0KCW1zby1jaGFyLXdyYXA6MTsNCglt
c28ta2luc29rdS1vdmVyZmxvdzoxO30NCi5ODQoJe21zby1jaGFyLXdyYXA6MTsNCgltc28ta2lu
c29rdS1vdmVyZmxvdzoxO30NCi5OMQ0KCXttc28tY2hhci13cmFwOjE7DQoJbXNvLWtpbnNva3Ut
b3ZlcmZsb3c6MTt9DQouTjINCgl7bXNvLWNoYXItd3JhcDoxOw0KCW1zby1raW5zb2t1LW92ZXJm
bG93OjE7fQ0KLk4zDQoJe21zby1jaGFyLXdyYXA6MTsNCgltc28ta2luc29rdS1vdmVyZmxvdzox
O30NCi5ONA0KCXttc28tY2hhci13cmFwOjE7DQoJbXNvLWtpbnNva3Utb3ZlcmZsb3c6MTt9DQou
T0INCgl7bXNvLXNwZWNpYWwtZm9ybWF0Om5vYnVsbGV0XDIwMjI7fQ0KLk8NCgl7dGV4dC1hbGln
bjpsZWZ0Ow0KCWZvbnQtZmFtaWx5OkFyaWFsOw0KCWNvbG9yOmJsYWNrOw0KCW1zby1jb2xvci1p
bmRleDoxOw0KCWZvbnQtc2l6ZTo4NSU7DQoJbXNvLWNoYXItd3JhcDoxOw0KCW1zby1raW5zb2t1
LW92ZXJmbG93OjE7fQ0KLk8xDQoJe21zby1jaGFyLXdyYXA6MTsNCgltc28ta2luc29rdS1vdmVy
ZmxvdzoxO30NCi5PMg0KCXttc28tY2hhci13cmFwOjE7DQoJbXNvLWtpbnNva3Utb3ZlcmZsb3c6
MTt9DQouTzMNCgl7bXNvLWNoYXItd3JhcDoxOw0KCW1zby1raW5zb2t1LW92ZXJmbG93OjE7fQ0K
Lk80DQoJe21zby1jaGFyLXdyYXA6MTsNCgltc28ta2luc29rdS1vdmVyZmxvdzoxO30NCi5DQkIN
Cgl7bXNvLXNwZWNpYWwtZm9ybWF0Om5vYnVsbGV0XDIwMjI7fQ0KLkNCDQoJe3RleHQtYWxpZ246
Y2VudGVyOw0KCWZvbnQtZmFtaWx5OkFyaWFsOw0KCWNvbG9yOmJsYWNrOw0KCW1zby1jb2xvci1p
bmRleDoxOw0KCWZvbnQtc2l6ZToxNTIlOw0KCW1zby1jaGFyLXdyYXA6MTsNCgltc28ta2luc29r
dS1vdmVyZmxvdzoxO30NCi5DQjENCgl7bXNvLWNoYXItd3JhcDoxOw0KCW1zby1raW5zb2t1LW92
ZXJmbG93OjE7fQ0KLkNCMg0KCXttc28tY2hhci13cmFwOjE7DQoJbXNvLWtpbnNva3Utb3ZlcmZs
b3c6MTt9DQouQ0IzDQoJe21zby1jaGFyLXdyYXA6MTsNCgltc28ta2luc29rdS1vdmVyZmxvdzox
O30NCi5DQjQNCgl7bXNvLWNoYXItd3JhcDoxOw0KCW1zby1raW5zb2t1LW92ZXJmbG93OjE7fQ0K
LkNUDQoJe21zby1jaGFyLXdyYXA6MTsNCgltc28ta2luc29rdS1vdmVyZmxvdzoxO30NCi5IQkIN
Cgl7bXNvLXNwZWNpYWwtZm9ybWF0OmJ1bGxldFwyMDIyO30NCi5IQg0KCXt0ZXh0LWFsaWduOmxl
ZnQ7DQoJZm9udC1mYW1pbHk6QXJpYWw7DQoJY29sb3I6YmxhY2s7DQoJbXNvLWNvbG9yLWluZGV4
OjE7DQoJZm9udC1zaXplOjEzMyU7DQoJbXNvLWNoYXItd3JhcDoxOw0KCW1zby1raW5zb2t1LW92
ZXJmbG93OjE7fQ0KLkhCMQ0KCXttc28tY2hhci13cmFwOjE7DQoJbXNvLWtpbnNva3Utb3ZlcmZs
b3c6MTt9DQouSEIyDQoJe21zby1jaGFyLXdyYXA6MTsNCgltc28ta2luc29rdS1vdmVyZmxvdzox
O30NCi5IQjMNCgl7bXNvLWNoYXItd3JhcDoxOw0KCW1zby1raW5zb2t1LW92ZXJmbG93OjE7fQ0K
LkhCNA0KCXttc28tY2hhci13cmFwOjE7DQoJbXNvLWtpbnNva3Utb3ZlcmZsb3c6MTt9DQouUUIN
Cgl7bXNvLWNoYXItd3JhcDoxOw0KCW1zby1raW5zb2t1LW92ZXJmbG93OjE7fQ0KLlFCMQ0KCXtt
c28tY2hhci13cmFwOjE7DQoJbXNvLWtpbnNva3Utb3ZlcmZsb3c6MTt9DQouUUIyDQoJe21zby1j
aGFyLXdyYXA6MTsNCgltc28ta2luc29rdS1vdmVyZmxvdzoxO30NCi5RQjMNCgl7bXNvLWNoYXIt
d3JhcDoxOw0KCW1zby1raW5zb2t1LW92ZXJmbG93OjE7fQ0KLlFCNA0KCXttc28tY2hhci13cmFw
OjE7DQoJbXNvLWtpbnNva3Utb3ZlcmZsb3c6MTt9DQouVGJsDQoJe21zby1jaGFyLXdyYXA6MTsN
Cgltc28ta2luc29rdS1vdmVyZmxvdzoxO30NCi5UYmwxDQoJe21zby1jaGFyLXdyYXA6MTsNCglt
c28ta2luc29rdS1vdmVyZmxvdzoxO30NCi5UYmwyDQoJe21zby1jaGFyLXdyYXA6MTsNCgltc28t
a2luc29rdS1vdmVyZmxvdzoxO30NCi5UYmwzDQoJe21zby1jaGFyLXdyYXA6MTsNCgltc28ta2lu
c29rdS1vdmVyZmxvdzoxO30NCi5UYmw0DQoJe21zby1jaGFyLXdyYXA6MTsNCgltc28ta2luc29r
dS1vdmVyZmxvdzoxO30NCi5kZWZhdWx0Qg0KCXttc28tc3BlY2lhbC1mb3JtYXQ6bm9idWxsZXRc
MjAyMjt9DQouZGVmYXVsdA0KCXt0ZXh0LWFsaWduOmxlZnQ7DQoJZm9udC1mYW1pbHk6QXJpYWw7
DQoJZm9udC13ZWlnaHQ6bm9ybWFsOw0KCWZvbnQtc3R5bGU6bm9ybWFsOw0KCXRleHQtZGVjb3Jh
dGlvbjpub25lOw0KCXRleHQtc2hhZG93Om5vbmU7DQoJdGV4dC1lZmZlY3Q6bm9uZTsNCgltc28t
ZmFyZWFzdC1oaW50Om5vOw0KCWxheW91dC1mbG93Omhvcml6b250YWw7DQoJY29sb3I6YmxhY2s7
DQoJbXNvLWNvbG9yLWluZGV4OjE7DQoJZm9udC1zaXplOjg1JTsNCgltc28tdGV4dC1yYWlzZTow
JTsNCgltc28tbGluZS1zcGFjaW5nOiIxMDAgMCAwIjsNCgltc28tbWFyZ2luLWxlZnQtYWx0OjA7
DQoJbXNvLXRleHQtaW5kZW50LWFsdDowOw0KCW1zby1jaGFyLXdyYXA6MTsNCgltc28ta2luc29r
dS1vdmVyZmxvdzoxOw0KCWRpcmVjdGlvbjpsdHI7DQoJbXNvLXdvcmQtd3JhcDoxOw0KCW1zby12
ZXJ0aWNhbC1hbGlnbi1zcGVjaWFsOmJhc2VsaW5lOw0KCW1zby1hbnNpLWxhbmd1YWdlOkVOLVVT
O30NCmE6bGluaw0KCXtjb2xvcjojMDA5OTk5ICFpbXBvcnRhbnQ7fQ0KYTphY3RpdmUNCgl7Y29s
b3I6IzMzMzM5OSAhaW1wb3J0YW50O30NCmE6dmlzaXRlZA0KCXtjb2xvcjojOTlDQzAwICFpbXBv
cnRhbnQ7fQ0K

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/script.js
Content-Transfer-Encoding: quoted-printable
Content-Type: application/javascript; charset="us-ascii"

function LoadSld()
{
	var sld=3DGetObj("SlideObj")
	if( !g_supportsPPTHTML ) {	=09
		sld.style.visibility=3D"visible"
		return
	}

	if( MakeNotesVis() ) return

	runAnimations =3D _InitAnimations();
=09
	if( IsWin("PPTSld") )
		parent.SldUpdated(GetSldId())
	g_origSz=3DparseInt(SlideObj.style.fontSize)
	g_origH=3Dsld.style.posHeight
	g_origW=3Dsld.style.posWidth
	g_scaleHyperlinks=3D(document.all.tags("AREA").length>0)
	if( g_scaleHyperlinks )
		InitHLinkArray()
	if( g_scaleInFrame||(IsWin("PPTSld") && parent.IsFullScrMode() ) )
		document.body.scroll=3D"no"
	_RSW()
	if( IsWin("PPTSld") && parent.IsFullScrMode() )
		FullScrInit();
=09
	MakeSldVis();
	ChkAutoAdv()

	if( runAnimations )
	{
		if( document.all("NSPlay") )
			document.all("NSPlay").autoStart =3D false;

		if( sld.filters && sld.filters.revealtrans )
			setTimeout( "document.body.start()", sld.filters.revealtrans.duration * =
1000 );
		else
			document.body.start();
	}
}

function MakeSldVis()=20
{
	var fTrans=3Dg_showAnimation && SldHasTrans()
	if( fTrans )=09
	{
		if( g_bgSound ) {
			idx=3Dg_bgSound.indexOf(",");
			pptSound.src=3Dg_bgSound.substr( 0, idx );
			pptSound.loop=3D -(parseInt(g_bgSound.substr(idx+1)));
		}
		SlideObj.filters.revealtrans.Apply()=09
    }
	SlideObj.style.visibility=3D"visible"
	if( fTrans )
		SlideObj.filters.revealtrans.Play()
}
function MakeNotesVis()=20
{
	if( !IsNts() ) return false=20
	SlideObj.style.display=3D"none"
	nObj =3D document.all.item("NotesObj")
	parent.SetHasNts(0)
	if( nObj ) {=20
		nObj.style.display=3D""
		parent.SetHasNts(1)
	}
	return 1
}
function ChkAutoAdv()
{
	if(SldHasTrans())
		SlideObj.onfilterchange=3DAutoAdv
	else
		AutoAdv()
}
function AutoAdv()
{
	if(!IsWin("PPTSld") || !gUseSldTimings )return
	var sld=3DGetCurSld()
	if( (sld.mAdvDelay>0) && !parent.IsFramesMode() )
		setTimeout("parent.GoToNextSld()",sld.mAdvDelay)
}
function GetObj(id)
{
	if(g_supportsPPTHTML) return document.all(id);
	else return document.getElementById(id);
}
function SldHasTrans() { return SlideObj.style.filter !=3D ""; }
function GetSldId()=20
{
	var regExp =3D /file:\/\/\//i
	var pos =3D location.href.search(regExp)
	if (MHTMLPrefix !=3D "" && pos !=3D -1)
		sId =3D location.href.substring(pos)
	else
	{
		sId =3D RemoveFilePrefixFromHref(location.href);
		var regExp =3D /\//
		var fixedHref =3D sId
		var pos =3D -1
=09
		pos =3D fixedHref.search(regExp)
		while (pos !=3D -1)
		{
			fixedHref =3D fixedHref.replace(regExp, "\\")
			pos =3D fixedHref.search(regExp)
		}
=09
		if (g_fBaseHyperlink =3D=3D true)
			sId =3D "file:///" + fixedHref;
		else
			sId =3D fixedHref.substring(fixedHref.lastIndexOf('\\') + 1)
	}
=09
	return sId
}
function HideMenu() { if( frames["PPTSld"] && PPTSld.document.all.item("ctx=
tmenu") && PPTSld.ctxtmenu.style.display!=3D"none" ) { PPTSld.ctxtmenu.styl=
e.display=3D'none'; return true } return false }
function IsWin( name ) { return window.name =3D=3D name }
function IsNts() { return IsWin("PPTNts") }
function IsSldOrNts() { return( IsWin("PPTSld")||IsWin("PPTNts") ) }
function SupportsPPTAnimation() { return( navigator.platform =3D=3D "Win32"=
 && navigator.appVersion.indexOf("Windows")>0 ) }
function SupportsPPTHTML()
{
	var appVer=3Dnavigator.appVersion, msie=3DappVer.indexOf("MSIE "), ver=3D0
	if( msie >=3D 0 )
		ver=3DparseFloat( appVer.substring( msie+5, appVer.indexOf(";",msie) ) )
	else
		ver=3DparseInt(appVer)

	return( ver >=3D 4 && msie >=3D 0 )
}
function _RSW()
{
	if( !g_supportsPPTHTML || IsNts() ||
	  ( !g_scaleInFrame && (!IsWin("PPTSld") || !parent.IsFullScrMode()) ) )
		return

        var padding=3D0;
        if( IsWin("PPTSld") && parent.IsFramesMode() ) padding=3D6

	cltWidth=3Ddocument.body.clientWidth-padding
	cltHeight=3Ddocument.body.clientHeight-padding
	factor=3D(1.0*cltWidth)/g_origW
	if( cltHeight < g_origH*factor )
		factor=3D(1.0*cltHeight)/g_origH

	newSize =3D g_origSz * factor
	if( newSize < 1 ) newSize=3D1

	s=3DSlideObj.style
	s.fontSize=3DnewSize+"px"
	s.posWidth=3Dg_origW*factor
	s.posHeight=3Dg_origH*factor
	s.posLeft=3D(cltWidth-s.posWidth+padding)/2
	s.posTop=3D(cltHeight-s.posHeight+padding)/2

	if( g_scaleHyperlinks )
		ScaleHyperlinks( factor )
}
function _InitAnimations()
{
	animRuntimeInstalled =3D ''+document.body.localTime !=3D 'undefined';
	isFullScreen =3D (window.name =3D=3D "PPTSld") && !parent.IsFramesMode();
	g_animUseRuntime =3D g_showAnimation && animRuntimeInstalled && !(isFullSc=
reen && parent.IsSldVisited());
	if( g_animUseRuntime ) {
		collSeq =3D document.all.tags("seq");
		if( collSeq !=3D null ) {
			for(ii=3D0;ii<collSeq.length;ii++) {
				if( collSeq[ii].getAttribute( "p:nodeType" ) =3D=3D "mainSeq" ) {
					g_animMainSequence =3D collSeq[ii];
					break;
				}
			}
		}
=09
		if( g_animItemsToHide && document.body.playAnimations !=3D false ) {
			for(jj =3D 0; jj < g_animItemsToHide.length; jj++) {
				if( hideObj =3D GetObj(g_animItemsToHide[jj]) )
					hideObj.runtimeStyle.visibility=3D"hidden";
			}
		}

		if( g_animInteractiveItems ){
			for(jj =3D 0; jj < g_animInteractiveItems.length; jj++) {
				if( triggerObj =3D GetObj(g_animInteractiveItems[jj]) )
					triggerObj.runtimeStyle.cursor=3D"hand";
			}
		}
	=09
		if( gUseSldTimings && ''+g_animSlideTime !=3D 'undefined' ) {
			adjustedTime =3D document.body.calculateAutoAdvanceTimes( g_animSlideTim=
e, g_animEffectTimings );
			if( IsWin("PPTSld") && adjustedTime !=3D g_animSlideTime ) {
			   var sld =3D GetCurSld();
			   sld.mAdvDelay =3D adjustedTime * 1000;
			}
		}
	}

	return g_animUseRuntime;
}

gSldJump =3D 0, gSldJumpTrack =3D 0, gSldJumpIdx =3D "";

function _KPH()
{=20
	if( IsNts() ) return;

	if( !parent.IsFramesMode() && event.keyCode =3D=3D 27 && !HideMenu() )
		parent.window.close( self );
	else if( event.keyCode =3D=3D 32 ) {
		if( window.name =3D=3D "PPTSld" )
			parent.PPTSld.DocumentOnClick();
		else
			parent.GoToNextSld();
	}

	CatchNumKeys( parent, event );
}

function CatchNumKeys( win, event ) {
	if( win.IsFullScrMode() && (48<=3Devent.keyCode) && (event.keyCode<=3D57) =
) {
		gSldJump =3D 1;
		gSldJumpIdx +=3D (event.keyCode-48).toString();
	}
	if( win.IsFullScrMode() && gSldJump && event.keyCode =3D=3D 13 ) {
		var numSlds =3D parent.GetSldList().mList.length
		if ( gSldJumpIdx > numSlds )
			gSldJumpIdx =3D numSlds;
		if ( gSldJumpIdx >=3D 0 ) {
			if ( gSldJumpIdx =3D=3D 0 )
				gSldJumpIdx =3D 1;
			var jumpTo =3D parseInt(gSldJumpIdx);
			gSldJump =3D 0; gSldJumpIdx =3D "";
			win.GoToSld( parent.GetSldList().mList[jumpTo-1].mSldHref )
		}
	}
}

function _KDH()
{
	if( event.keyCode =3D=3D 8 ) {
		event.returnValue =3D 0;
		parent.GoToPrevSld();
	}
}
function DocumentOnClick()
{
	if( IsNts() || parent.HideMenu() ) return;
	if( ( g_allowAdvOnClick && !parent.IsFramesMode() ) ||
	    (event && (event.keyCode=3D=3D32) ) )
		parent.GoToNextSld();
}



var g_supportsPPTHTML =3D SupportsPPTHTML(), g_scaleInFrame =3D 1, gId=3D""=
, g_bgSound=3D"",
    g_scaleHyperlinks =3D false, g_allowAdvOnClick =3D 1, g_showInBrowser =
=3D 0, gLoopCont =3D 0, gUseSldTimings =3D 1;
var g_showAnimation =3D g_supportsPPTHTML && SupportsPPTAnimation() && ( (w=
indow.name=3D=3D"PPTSld" && !parent.IsFramesMode()) || g_showInBrowser );va=
r g_animManager =3D null;
var g_animUseRuntime =3D false;
var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime;
var g_animMainSequence =3D null;

var ENDSHOW_MESG=3D"End of slide show, click to exit.", SCREEN_MODE=3D"Fram=
es", gIsEndShow=3D0, NUM_VIS_SLDS=3D60, SCRIPT_HREF=3D"script.js", FULLSCR_=
HREF=3D"fullscreen.htm";
var gCurSld =3D gPrevSld =3D 1, g_offset =3D 0, gNtsOpen =3D gHasNts =3D gO=
tlTxtExp =3D 0, gHasNarration =3D 0, gOtlOpen =3D true
window.gPPTHTML=3DSupportsPPTHTML()
var g_fBaseHyperlink =3D false;
var gMainDoc=3Dnew Array(new hrefList("slide0008.htm",1,-1,1),new hrefList(=
"slide0055.htm",1,-1,1),new hrefList("slide0056.htm",1,-1,1),new hrefList("=
slide0057.htm",1,-1,1),new hrefList("slide0058.htm",1,-1,1),new hrefList("s=
lide0059.htm",1,-1,1),new hrefList("slide0060.htm",1,-1,1),new hrefList("sl=
ide0061.htm",1,-1,1),new hrefList("slide0062.htm",1,-1,1),new hrefList("sli=
de0063.htm",1,-1,1),new hrefList("slide0064.htm",1,-1,1),new hrefList("slid=
e0065.htm",1,-1,1),new hrefList("slide0024.htm",1,-1,1),new hrefList("slide=
0066.htm",1,-1,1),new hrefList("slide0067.htm",1,-1,1),new hrefList("slide0=
068.htm",1,-1,1),new hrefList("slide0069.htm",1,-1,1),new hrefList("slide00=
70.htm",1,-1,1),new hrefList("slide0071.htm",1,-1,1),new hrefList("slide007=
2.htm",1,-1,1),new hrefList("slide0073.htm",1,-1,1),new hrefList("slide0074=
.htm",1,-1,1),new hrefList("slide0075.htm",1,-1,1),new hrefList("slide0076.=
htm",1,-1,1),new hrefList("slide0077.htm",1,-1,1),new hrefList("slide0078.h=
tm",1,-1,1),new hrefList("slide0040.htm",1,-1,1),new hrefList("slide0079.ht=
m",1,-1,1),new hrefList("slide0080.htm",1,-1,1),new hrefList("slide0081.htm=
",1,-1,1),new hrefList("slide0082.htm",1,-1,1),new hrefList("slide0083.htm"=
,1,-1,1),new hrefList("slide0084.htm",1,-1,1),new hrefList("slide0085.htm",=
1,-1,1),new hrefList("slide0086.htm",1,-1,1),new hrefList("slide0087.htm",1=
,-1,1),new hrefList("slide0088.htm",1,-1,1),new hrefList("slide0089.htm",1,=
-1,1),new hrefList("slide0090.htm",1,-1,1),new hrefList("slide0092.htm",1,-=
1,1),new hrefList("slide0093.htm",1,-1,1),new hrefList("slide0048.htm",1,-1=
,1),new hrefList("slide0094.htm",1,-1,1),new hrefList("slide0095.htm",1,-1,=
1),new hrefList("slide0096.htm",1,-1,1),new hrefList("slide0097.htm",1,-1,1=
),new hrefList("slide0098.htm",1,-1,1),new hrefList("slide0099.htm",1,-1,1)=
,new hrefList("slide0100.htm",1,-1,1),new hrefList("slide0101.htm",1,-1,1),=
new hrefList("slide0102.htm",1,-1,1),new hrefList("slide0103.htm",1,-1,1),n=
ew hrefList("slide0104.htm",1,-1,1),new hrefList("slide0105.htm",1,-1,1),ne=
w hrefList("slide0106.htm",1,-1,1),new hrefList("slide0107.htm",1,-1,1),new=
 hrefList("slide0108.htm",1,-1,1),new hrefList("slide0109.htm",1,-1,1),new =
hrefList("slide0110.htm",1,-1,1),new hrefList("slide0111.htm",1,-1,1));

/*********************************************
 Frameset functions

 These functions control slide navigation
 and state of the frameset.
**********************************************/

function RemoveFilePrefixFromHref(href)
{
	var regExp =3D /^file:\/\/\//i;
	return href.replace(regExp, "")
}

function FullScrInit()
{
	g_allowAdvOnClick =3D GetCurSld().mAdvOnClk
	document.body.style.backgroundColor=3D"black"
	document.oncontextmenu=3Dparent._CM;
	document.onkeydown =3D _KDH;
	document.ondragstart=3DCancel
	document.onselectstart=3DCancel
	self.focus()
}

function Redirect( frmId )
{=09
	var str=3Ddocument.location.hash,idx=3Dstr.indexOf('#'), sId=3DGetSldId()
	if(idx>=3D0) str=3Dstr.substr(1);
	if( window.name !=3D frmId && ( sId !=3D str) ) {
		obj =3D GetObj("Main-File")
		window.location.href=3Dobj.href+"#"+sId
		return 1
	}
	return 0
}

var MHTMLPrefix =3D CalculateMHTMLPrefix();=20
function CalculateMHTMLPrefix()
{
	if ( document.location.protocol =3D=3D 'mhtml:') {=20
		href=3Dnew String(document.location.href)=20
		Start=3Dhref.indexOf('!')+1=20
		End=3Dhref.lastIndexOf('/')+1=20
		if (End < Start)=20
			return href.substring(0, Start)=20
		else=20
		return href.substring(0, End)=20
	}
	return '';
}

function GetTags(base,tag)
{
	if(g_supportsPPTHTML) return base.all.tags(tag);
	else return base.getElementsByTagName(tag);
}


function UpdNtsPane(){ if(frames["PPTNts"]) PPTNts.location.replace( MHTMLP=
refix+GetHrefObj( gCurSld ).mNtsHref ) }

function UpdNavPane( sldIndex ){ if(gNavLoaded) PPTNav.UpdNav() }

function UpdOtNavPane(){ if(gOtlNavLoaded) PPTOtlNav.UpdOtlNav() }

function UpdOtlPane(){ if(gOtlLoaded) PPTOtl.UpdOtl() }

function SetHasNts( fVal )
{
	if( gHasNts !=3D fVal ) {
		gHasNts=3DfVal
		UpdNavPane()
	}
}

function ToggleOtlText()
{
	gOtlTxtExp=3D!gOtlTxtExp
	UpdOtlPane()
}

function ClearMedia()
{
	// Clear any sounds playing before launching another browser window. Other=
wise,
	// in fullscreen mode, you'll continue to hear the sound in the frames mod=
e.
	if (PPTSld.pptSound) PPTSld.pptSound.loop =3D 0;
}

function FullScreen()
{=20
	if ( PPTSld.g_animUseRuntime )
		PPTSld.document.body.pause();
	ClearMedia();
	var href =3D ( document.location.protocol =3D=3D 'mhtml:') ? FULLSCR_HREF =
: FULLSCR_HREF+"#"+GetHrefObj(gCurSld).mSldHref;
	if (MHTMLPrefix !=3D "")
		href =3D RemoveFilePrefixFromHref(href)
	if(PPTNav.event.ctrlKey) {
		var w =3D (window.screen.availWidth * 1.0) / 2.0
		var h =3D w * (PPTSld.g_origH * 1.0) / PPTSld.g_origW
		win =3D window.open( MHTMLPrefix+href,null,"toolbar=3D0,resizable=3D1,top=
=3D0,left=3D0," + "width=3D"+ w + ",height=3D" + h );
		if( win.document.body && PPTSld.g_animUseRuntime )
			win.document.body.PPTSldFrameset=3Dwindow;
	}
	else
	{
		win =3D window.open( MHTMLPrefix+href,null,"fullscreen=3Dyes" );
		if( win.document.body && PPTSld.g_animUseRuntime )
			win.document.body.PPTSldFrameset=3Dwindow;
	}
}

function ToggleVNarration()
{
	rObj=3DPPTSld.document.all("NSPlay")
	if( rObj && !PPTSld.g_animUseRuntime ) {
		if( (rObj.playState =3D=3D 1)||(rObj.playState =3D=3D 0) )
			rObj.Play()
		else if( rObj.playState =3D=3D 2 )
			rObj.Pause()
		else
			return;
	}
	else if( PPTSld.g_animUseRuntime )
	{
		narObj =3D PPTSld.document.all("narrationID")
		if( narObj )
			narObj.togglePause()
	}
}

function GetCurSldNum()
{  =20
	obj=3DGetHrefObj(gCurSld)
	if( obj.mOrigVis =3D=3D 1 )
		return obj.mSldIdx
	else  =20
		return gCurSld
}

function GetNumSlds()
{  =20
	if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 )
		return GetSldList().mNumVisSlds;
	else
		return GetSldList().mList.length
}

function GetSldNum( href )
{
	for(ii=3D0; ii<GetSldList().mList.length; ii++) {
		if ( GetSldList().mList[ii].mSldHref =3D=3D href )
			return ii+1
	}
	return 1
}

function GetHrefObj( sldIdx ){ return GetSldList().mList[sldIdx-1] }

function IsFramesMode(){ return ( SCREEN_MODE =3D=3D "Frames" ) }

function IsFullScrMode(){ return ( SCREEN_MODE =3D=3D "FullScreen" ) }

function GoToNextSld()
{
	ii=3DgCurSld + 1
	if( GetHrefObj( ii-1 ).mOrigVis =3D=3D 0 ) {
		if( ii<=3DGetSldList().mList.length ) {
			obj=3DGetHrefObj(ii)
			obj.mVis=3D1
			GoToSldNum(ii)
			return
		}
	}
	else {
		obj=3DGetHrefObj( ii )
		while ( obj && ( obj.mOrigVis =3D=3D 0 ) )
			obj=3DGetHrefObj(++ii)
		if( obj && obj.mOrigVis ) {
			GoToSldNum(ii)
			return
		}
	}
	if( gSldStack.length > 1 )
		PopSldList();
	else if( !IsFramesMode() ) {
                if( gLoopCont )
			GoToFirst()
                else
			EndShow()
	}
}

function GoToPrevSld()
{
	ii=3DgCurSld-1
	if( ii > 0 ) {
		obj=3DGetHrefObj(ii)
		while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) )
			obj=3DGetHrefObj(--ii)
        if( ii =3D=3D 0 ) ii=3D1
		GoToSldNum(ii)
	}
}

function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) }

function GoToLast()
{
	ii=3DGetSldList().mList.length
	if( ii !=3D gCurSld )
		GoToSld( GetHrefObj(ii).mSldHref )
}

function GoToSldNum( num )
{
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	obj =3D GetHrefObj( num )
	obj.mVis=3D1
	gPrevSld=3DgCurSld
	gCurSld =3D num;
=09
	if (MHTMLPrefix !=3D "")
		PPTSld.location.replace(MHTMLPrefix+RemoveFilePrefixFromHref(obj.mSldHref=
))
	else
		PPTSld.location.replace(obj.mSldHref)
	=09
	if( IsFramesMode() ) {
		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
	}
}

function GoToSld( href )
{
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	GetHrefObj( GetSldNum(href) ).mVis=3D1
	if (MHTMLPrefix !=3D "")
		PPTSld.location.replace(MHTMLPrefix+RemoveFilePrefixFromHref(href))
	else
		PPTSld.location.replace(href)
}

function SldUpdated( id )
{
	if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) return
	gPrevSld=3DgCurSld
	gCurSld=3DGetSldNum(id)
	if( IsFramesMode() ) {
		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
	}
}

function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) }
function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO=
bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) }
function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) }

function CloseWindow() {
	if( HideMenu() ) return;
=09
	var event =3D PPTSld.event;
	if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D=
=3D32 || event.type=3D=3D"click" ) )
		window.close( self );
	CatchNumKeys( self, event );
}

function Unload() { gIsEndShow=3D0; }

function SetupEndShow() {
	gIsEndShow=3D1;
	PPTSld.document.body.scroll=3D"no";
	PPTSld.document.onkeypress=3DCloseWindow;
	PPTSld.document.onclick=3DCloseWindow;
	PPTSld.document.oncontextmenu=3D_CM;
}

function EndShow()
{
	if( IsFramesMode() ) return
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue

	doc=3DPPTSld.document
	var dir =3D doc.body.dir
	if( dir !=3D "rtl" ) dir =3D "ltr";
	doc.open()
	doc.writeln('<html><body dir=3D' + dir + ' bgcolor=3Dblack onload=3Dparent=
.SetupEndShow() onunload=3Dparent.Unload()><center><p><font face=3DTahoma c=
olor=3Dwhite size=3D2><br><b>' + ENDSHOW_MESG + '</b></font></p></center></=
body></html>')
	doc.close()
}

function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue }

function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited }

function hrefList( sldHref, visible, advDelay, advClk )
{
	this.mSldHref=3D this.mNtsHref =3D sldHref
	this.mOrigVis=3D this.mVis =3D visible
	this.mVisited=3D false
	this.mAdvDelay=3D advDelay
	this.mAdvOnClk=3D advClk
}

function SldList(arr,curSld,fEnd)
{
	this.mCurSld =3D curSld;
	this.mList =3D new Array();

	var idx =3D 1;
	for(ii=3D0;ii<arr.length;ii++) {
		this.mList[ii] =3D new hrefList( arr[ii].mSldHref, arr[ii].mOrigVis, arr[=
ii].mAdvDelay, arr[ii].mAdvOnClk );
		if( arr[ii].mOrigVis )
			this.mList[ii].mSldIdx =3D idx++;
	}
	this.mNumVisSlds =3D idx-1;
	this.fEndShow =3D fEnd;
}

function GetSldList() {	return gSldStack[gSldStack.length-1] }
function GetCurSld() { return parent.GetSldList().mList[parent.gCurSld - 1]=
 }

gSldStack =3D new Array();
gSldStack[0] =3D new SldList(gMainDoc,gCurSld,1)
function ToggleOtlPane()
{
	frmset=3Ddocument.all("PPTHorizAdjust")
	frm=3Ddocument.all("PPTOtl")

	if( gOtlOpen )
		frmset.cols=3D"*,100%"
	else
		frmset.cols=3D"25%,*"

	gOtlOpen=3D!gOtlOpen
	frm.noResize=3D!frm.noResize
	UpdOtNavPane()
}

function ToggleNtsPane()
{
	frmset=3Ddocument.all("PPTVertAdjust")
	frm=3Ddocument.all("PPTNts")

	if( gNtsOpen )
		frmset.rows=3D"100%,*"
	else
		frmset.rows=3D"*,20%"

	gNtsOpen=3D!gNtsOpen
	UpdNtsPane()
}

/*********************************************
Custom Shows implementation

When ViewCustomShow() is called, we create
a new array that is a subset of the slides in=20
the main doc. This list pushed on a stack so
we can return after the end of the custom
show.
*********************************************/
function ViewCustomShow(idx,fEnd)
{
	if( !IsFullScrMode() ) return;
	var sldList =3D new Array();
	var custShow =3D custShowList[idx-1];
	var jj =3D 0;
	for( ii=3D0;ii<custShow.length;ii++ ) {
		if( custShow[ii] <=3D gMainDoc.length )
			sldList[jj++] =3D gMainDoc[custShow[ii]-1];
	}
	if (sldList.length > 0) {
	PushSldList(sldList,fEnd);
	gCurSld =3D 1;
	}
	else
		if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
}

function PushSldList(arr,fEnd) {
	var ii =3D gSldStack.length;
	gSldStack[ii] =3D new SldList(arr,gCurSld,fEnd);
	GoToSld( gSldStack[ii].mList[0].mSldHref );
}

function PopSldList() {
	if (gSldStack[gSldStack.length-1].fEndShow)
		EndShow()
	else {
	gCurSld =3D gSldStack[gSldStack.length-1].mCurSld;
	gSldStack[gSldStack.length-1] =3D null;
	gSldStack.length--;
	var sldList =3D gSldStack[gSldStack.length-1];
	GoToSld( sldList.mList[gCurSld - 1].mSldHref );
	}
}
var custShowList=3Dnew Array();

/*********************************************
 Navigation button implementation

 There are 2 types of buttons: ImgBtn, TxtBtn
 implemented as function objects. They share
 a similiar interface so the event handlers
 can call SetActive, for example, on a button=20
 object without needing to know exactly=20
 what type of button it is.
**********************************************/

//----------------------------------
function ImgBtn( oId,bId,w,action )
//----------------------------------
{
	var t=3Dthis
	t.Perform    =3D _IBP
	t.SetActive  =3D _IBSetA
	t.SetInactive=3D _IBSetI
	t.SetPressed =3D _IBSetP
	t.SetDisabled=3D _IBSetD
	t.Enabled    =3D _IBSetE
	t.ChangeIcon =3D null
	t.UserAction =3D action
	t.ChgState   =3D _IBUI
	t.mObjId   =3D oId
	t.mBorderId=3D bId
	t.mWidth   =3D w
	t.mIsOn    =3D t.mCurState =3D 0
}

function _IBSetA()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 )
		obj.style.posTop=3D0
	}
}

function _IBSetI()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 )
		obj.style.posTop=3D0=20
	}
}

function _IBSetP()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gShadowClr,gHiliteClr,2 )
		obj.style.posLeft+=3D1; obj.style.posTop+=3D1
	}
}

function _IBSetD()
{ =20
	obj=3Dthis.ChgState( gFaceClr,gFaceClr,0 )
	obj.style.posTop=3D0=20
}

function _IBSetE( state )
{
	var t=3Dthis
	GetObj( t.mBorderId ).style.visibility=3D"visible"
	if( state !=3D t.mIsOn ) {
		t.mIsOn=3Dstate
		if( state )
			t.SetInactive()
		else
			t.SetDisabled()
	}
}

function _IBP()
{
	var t=3Dthis
	if( t.mIsOn ) {
		if( t.UserAction !=3D null )
			t.UserAction()
		if( t.ChangeIcon ) {
			obj=3DGetObj(t.mObjId)
			if( t.ChangeIcon() )
				obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth
			else
				obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-0)*t.mWidth
		}
		t.SetActive()
	} =20
}

function _IBUI( clr1,clr2,nextState )
{
	var t=3Dthis
	SetBorder( GetObj( t.mBorderId ),clr1,clr2 )
	obj=3DGetObj( t.mObjId )
	obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj=
.style.posTop
	t.mCurState=3DnextState
	return obj
}

//-----------------------------------------
function TxtBtn( oId,oeId,action,chkState )
//-----------------------------------------
{
	var t=3Dthis
	t.Perform    =3D _TBP
	t.SetActive  =3D _TBSetA
	t.SetInactive=3D _TBSetI
	t.SetPressed =3D _TBSetP
	t.SetDisabled=3D _TBSetD
	t.SetEnabled =3D _TBSetE
	t.GetState   =3D chkState
	t.UserAction =3D action
	t.ChgState   =3D _TBUI
	t.mObjId      =3D oId
	t.m_elementsId=3D oeId
	t.mIsOn       =3D 1
}

function _TBSetA()
{
	var t=3Dthis
	if( t.mIsOn && !t.GetState() )
		t.ChgState( gHiliteClr,gShadowClr,0,0 )
}

function _TBSetI()
{
	var t=3Dthis
	if( t.mIsOn && !t.GetState() )
		t.ChgState( gFaceClr,gFaceClr,0,0 )
}

function _TBSetP()
{
	if( this.mIsOn )
		this.ChgState( gShadowClr,gHiliteClr,1,1 )
}

function _TBSetD()
{  =20
	this.ChgState( gFaceClr,gFaceClr,0,0 )
	this.mIsOn =3D 0
}

function _TBSetE()
{
	var t=3Dthis
	if( !t.GetState() )
		t.ChgState( gFaceClr,gFaceClr,0,0 )
	else
		t.ChgState( gShadowClr,gHiliteClr,1,1 )
	t.mIsOn =3D 1
}

function _TBP()
{
	var t=3Dthis
	if( t.mIsOn ) {=20
		if( t.UserAction !=3D null )
			t.UserAction()
        if( !t.GetState )
            return
		if( t.GetState() )
			t.SetPressed()
		else
			t.SetActive()
	} =20
}

function _TBUI( clr1,clr2,lOffset,tOffset )
{
	SetBorder( GetObj( this.mObjId ),clr1,clr2 )
	Offset( GetObj( this.m_elementsId ),lOffset,tOffset )
}

function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle=
ft }

function SetBorder( obj, upperLeft, lowerRight )
{
	s=3Dobj.style;
	s.borderStyle      =3D "solid"
	s.borderWidth      =3D 1=20
	s.borderLeftColor  =3D s.borderTopColor =3D upperLeft
	s.borderBottomColor=3D s.borderRightColor =3D lowerRight
}

function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] }

function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() }

function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() }

function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() }

function BtnOnUp()
{
	b=3DGetBtnObj()
	if( b !=3D null )
		b.Perform()
	else
		Upd()
}
function GetNtsState(){ return parent.gNtsOpen }

function GetOtlState(){ return parent.gOtlOpen }

function GetOtlTxtState(){ return parent.gOtlTxtExp }

function NtsBtnSetFlag( fVal )
{
	s=3Ddocument.all.item( this.m_flagId ).style
	s.display=3D"none"
	if( fVal )
		s.display=3D""
	else
		s.display=3D"none"
}

function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etActive() }

function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etInactive() }

function _BSetP_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etPressed() }

function _BSetA_BorderImg()
{=20
	b =3D gBtnArr[this.mBorderId]=20
	if( b !=3D null && this.mIsOn && !b.GetState() ) {
		obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 )
		obj.style.posTop=3D0
	}
}

function _BSetI_BorderImg()
{=20
	b =3D gBtnArr[this.mBorderId]
	if( b !=3D null && this.mIsOn && !b.GetState() ) {
		obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 )
		obj.style.posTop=3D0
	}
}


var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"=
THREEDFACE"
var gBtnArr =3D new Array()
gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan=
e,GetOtlState )
gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt=
lPane,GetOtlState )
gBtnArr["nb_nts"] =3D new ImgBtn( "nb_nts","nb_ntsBorder",10,parent.ToggleN=
tsPane )
gBtnArr["nb_nts"].SetActive =3D _BSetA_BorderImg;
gBtnArr["nb_nts"].SetInactive =3D _BSetI_BorderImg;
gBtnArr["nb_ntsBorder"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.=
ToggleNtsPane,GetNtsState )
gBtnArr["nb_ntsElem"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.To=
ggleNtsPane,GetNtsState )
gBtnArr["nb_prevBorder"] =3D gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","n=
b_prevBorder",30,parent.GoToPrevSld )
gBtnArr["nb_nextBorder"] =3D gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","n=
b_nextBorder",30,parent.GoToNextSld )
gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent=
.FullScreen )
gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa=
rent.FullScreen,null )
gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border;
gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border;
gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent=
.FullScreen,null )
gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border;
gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border;
gBtnArr["nb_voice"] =3D gBtnArr["nb_voiceBorder"] =3D new ImgBtn( "nb_voice=
","nb_voiceBorder",18,parent.ToggleVNarration )
gBtnArr["nb_otlTxtBorder"] =3D gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlT=
xt","nb_otlTxtBorder",23,parent.ToggleOtlText )
gBtnArr["nb_ntsBorder"].m_flagId=3D "nb_nts"
gBtnArr["nb_ntsBorder"].SetFlag =3D NtsBtnSetFlag
gBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtState

/*********************************************
 Context menu implementation

 _CM() is the function that's hooked up to
 the oncontextmenu event. Once we're asked to
 show the menu, we first build it by creating
 DIVs on-the-fly. Then we position it=20
 within the screen area so it doesn't get
 clipped.

 Creating the DIVs using createElement() means
 we don't have to write out any extra HTML
 into the slide HTML files.
**********************************************/
var sNext=3D"Next",sPrev=3D"Previous",sEnd=3D"End Show",sFont=3D"Arial",sAr=
row=3D"Arrow",sFreeform=3D"Freeform",sRect=3D"Rectangle",sOval=3D"Oval"

function ShowMenu()
{
	BuildMenu();
	var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y=
=3DPPTSld.event.clientY+doc.scrollTop
	m =3D PPTSld.document.all.item("ctxtmenu")
	m.style.pixelLeft=3Dx
	if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) )
		m.style.pixelLeft=3Dx-m.scrollWidth

	m.style.pixelTop=3Dy
	if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) )
		m.style.pixelTop=3Dy-m.scrollHeight

	m.style.display=3D""
}

function _CM()
{
	if( !parent.IsFullScrMode() ) return;
	if(!PPTSld.event.ctrlKey) {
		ShowMenu()
		return false
	} else
		HideMenu()
}

function BuildMenu()
{
	if( PPTSld.document.all.item("ctxtmenu") ) return

	var mObj=3DCreateItem( PPTSld.document.body )
	mObj.id=3D"ctxtmenu"
	mObj.style.visibility=3D"hidden"
	var s=3DmObj.style
	s.position=3D"absolute"
	s.cursor=3D"default"
	s.width=3D"120px"
	SetCMBorder(mObj,"menu","black")

	var iObj=3DCreateItem( mObj )
	SetCMBorder( iObj, "threedhighlight","threedshadow" )
	iObj.style.padding=3D2
	CreateMenuItem( iObj,sNext,M_GoNextSld,M_True )
	CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld )
=09
	CreateSeparator( iObj )
	CreateMenuItem( iObj,sEnd,M_End,M_True )
	mObj.style.visibility=3D"visible"
}

function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa=
lue=3Dfalse }

function Highlight() { ChangeClr("activecaption","threedhighlight") }

function Deselect() { ChangeClr("threedface","menutext") }

function Perform()
{
	e=3DPPTSld.event.srcElement
	if( e.type=3D=3D"menuitem" && e.IsActive() )
		e.Action()
	else
		PPTSld.event.cancelBubble=3Dtrue
}
function ChangeClr( bg,clr )
{
	e=3DPPTSld.event.srcElement
	if( e.type=3D=3D"menuitem" && e.IsActive() ) {
		e.style.backgroundColor=3Dbg
		e.style.color=3Dclr
	}
}

function M_HasPrevSld() { return( parent.HasPrevSld() ) }

function M_GoNextSld() { if( gIsEndShow ) M_End(); else GoToNextSld() }

function M_GoPrevSld() { if( gIsEndShow ) { gIsEndShow=3D0; history.back();=
 PPTSld.event.cancelBubble=3Dtrue; } else GoToPrevSld() }

function M_True() { return true }

function M_End() { window.close( self ) }

function CreateMenuItem( node,text,action,eval )
{
	var e=3DCreateItem( node )
	e.type=3D"menuitem"
	e.Action=3Daction
	e.IsActive=3Deval
	e.innerHTML=3Dtext

	if( !e.IsActive() )
		e.style.color=3D"threedshadow"

	e.onclick=3DPerform
	e.onmouseover=3DHighlight
	e.onmouseout=3DDeselect
	s=3De.style;
	s.fontFamily=3DsFont
	s.fontSize=3D"9pt"
	s.paddingLeft=3D2
}

function CreateSeparator( node )
{
	var sObj=3DCreateItem( node )
	SetCMBorder(sObj,"menu","menu")
	var s=3DsObj.style
	s.borderTopColor=3D"threedshadow"
	s.borderBottomColor=3D"threedhighlight"
	s.height=3D1
	s.fontSize=3D"0px"
}

function CreateItem( node )
{
	var elem=3DPPTSld.document.createElement("DIV")
	node.insertBefore( elem )
	return elem
}

function SetCMBorder( o,ltClr,rbClr )
{
	var s=3Do.style
	s.backgroundColor=3D"menu"
	s.borderStyle=3D"solid"
	s.borderWidth=3D1
	s.borderColor=3DltClr+" "+rbClr+" "+rbClr+" "+ltClr
}
------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/fullscreen.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html>

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DPowerPoint.Slide>
<meta name=3DGenerator content=3D"Microsoft PowerPoint 11">
<link id=3DMain-File rel=3DMain-File href=3D"../2ComplexNumbers.htm">
<link rel=3DPreview href=3Dpreview.wmf>
<![if IE]>
<base href=3D"file:///C:\7102A2B3\2ComplexNumbers_files\fullscreen.htm"
id=3D"webarch_temp_base_tag">
<![endif]><script src=3Dscript.js></script>
<script><!--
var SCREEN_MODE   =3D "FullScreen";

function Load() {
	str=3Dunescape(document.location.hash),idx=3Dstr.indexOf('#')
	if(idx>=3D0) str=3Dstr.substr(1);
	if(!str) str =3D "slide0008.htm";
=09
	if (MHTMLPrefix !=3D "")
	{
		str =3D RemoveFilePrefixFromHref(str);
		PPTSld.location.replace(MHTMLPrefix+escape(str));=09
	}
	else
	{
		PPTSld.location.replace(str);
	}
}

function Unload() {
	if ( document.body.PPTSldFrameset !=3D null )
		document.body.PPTSldFrameset.frames[1].document.body.resume();
}

//-->
</script>
</head>

<frameset rows=3D"*" frameborder=3D0 onload=3D"Load()" onunload=3D"Unload()=
">
 <frame name=3DPPTSld>
</frameset>

</html>

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/buttons.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/frame.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html>

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DPowerPoint.Slide>
<meta name=3DGenerator content=3D"Microsoft PowerPoint 11">
<link id=3DMain-File rel=3DMain-File href=3D"../2ComplexNumbers.htm">
<link rel=3DPreview href=3Dpreview.wmf>
<title>Complex Numbers</title>
<![if IE]>
<base href=3D"file:///C:\7102A2B3\2ComplexNumbers_files\frame.htm"
id=3D"webarch_temp_base_tag">
<![endif]><![if !ppt]><script src=3Dscript.js></script><script>
<!--
var gNavLoaded =3D gOtlNavLoaded =3D gOtlLoaded =3D false;
function Load()
{
	str=3Dunescape(document.location.hash),idx=3Dstr.indexOf('#')
	if(idx>=3D0) str=3Dstr.substr(1);
	if(str) PPTSld.location.replace(escape(str));
}
//-->
</script><![endif]>
</head>


<frameset rows=3D"*,25" border=3D0>
 <frameset cols=3D"25%,*" onload=3D"Load()" id=3DPPTHorizAdjust framespacin=
g=3D1 frameborder=3D1>
  <frame src=3Doutline.htm title=3D"Outline" name=3DPPTOtl>
  <frame src=3Dslide0008.htm title=3D"Slide" name=3DPPTSld>
 </frameset>
 <frameset cols=3D"25%,*" framespacing=3D1>
  <frame src=3Doutline.htm title=3D"Outline
Navigation Bar" name=3DPPTOtlNav scrolling=3Dno noresize>
  <frame src=3Doutline.htm title=3D"Slide
Navigation Bar" name=3DPPTNav scrolling=3Dno noresize>
 </frameset>
</frameset>
</html>

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/outline.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html>

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DPowerPoint.Slide>
<meta name=3DGenerator content=3D"Microsoft PowerPoint 11">
<link id=3DMain-File rel=3DMain-File href=3D"../2ComplexNumbers.htm">
<link rel=3DPreview href=3Dpreview.wmf>
<![if IE]>
<base href=3D"file:///C:\7102A2B3\2ComplexNumbers_files\outline.htm"
id=3D"webarch_temp_base_tag">
<![endif]>
<meta name=3DRobots content=3DNoIndex>
<script src=3Dscript.js></script><script><!--

if( !(IsWin("PPTOtl")||IsWin("PPTNav")||IsWin("PPTOtlNav")) )
{
	obj =3D GetObj("Main-File")
	parent.location.href=3Dobj.href
}

var gOtlHiliteClr=3D"#ffffff",gOtlNormalClr=3D"#000000",gOtlActiveClr=3D"#f=
fff00",gSelected=3D"",gTxtState=3Dfalse,gChildEntryTable=3Dnew Array()

function Load()
{
	if( IsWin("PPTOtl" ) ){ LoadOtl(); parent.gOtlLoaded=3Dtrue; return }
	if( g_supportsPPTHTML ) {
		if( IsWin("PPTNav" ) ){ LoadNav("NavObj",UpdNav); parent.gNavLoaded=3Dtru=
e; return }
		if( IsWin("PPTOtlNav" ) ){ LoadNav("OtlNavObj",UpdOtlNav); parent.gOtlNav=
Loaded=3Dtrue; return }
	}
}
function Upd(){ if( IsWin("PPTNav") ) LoadNav("NavObj",UpdNav) }
function LoadNav( oId,UpdFunc )
{
	document.ondragstart=3DCancelDrag
	document.onselectstart=3DCancelDrag
	document.body.style.margin=3D2
	UpdFunc()
	obj=3Ddocument.all.item(oId)
	obj.style.display=3D"block"
	obj.style.visibility=3D"visible"
	document.bgColor=3D"threedface"

	if( parent.frames["PPTNts"] )
		notesBtn.style.display =3D ""
	if( parent.gHasNarration )
		nb_voiceBorder.style.display =3D ""
}
function LoadOtl()
{
	var otl=3DGetObj("OtlObj")
	otl.style.display=3D"block"
	otl.style.visibility=3D"visible"
	if( gOtlActiveClr =3D=3D "" ) gOtlActiveClr=3Ddocument.linkColor
	if( gOtlHiliteClr =3D=3D "" ) gOtlHiliteClr=3Ddocument.fgColor
	if( gOtlNormalClr =3D=3D "" )
		gOtlNormalClr=3Ddocument.bgColor
	else
		document.bgColor=3DgOtlNormalClr =20

	InitArray()

	if( ObjExists( parent.gCurSld ) ) {
		ChangeState( parent.gCurSld,gOtlNormalClr,gOtlHiliteClr )
		gSelected=3Dparent.gCurSld
	}
	else gSelected =3D -1

	UpdOtl()
}
function UpdOtl(){ UpdIdx(parent.gCurSld) }
function UpdIdx( idx )
{
	if( gSelected !=3D idx ) {
		if( gSelected > 0 )
			ChangeState( gSelected,gOtlHiliteClr,gOtlNormalClr )

		if( ObjExists( idx ) ) {
			gSelected =3D idx
			ChangeState( gSelected,gOtlNormalClr,gOtlHiliteClr )
		}
		else gSelected =3D -1
	}

	if( gTxtState !=3D parent.gOtlTxtExp ) {
		state =3D "block"
		if( !parent.gOtlTxtExp )
			state=3D"none"

		for(ii=3D0; ii<gChildEntryTable.length; ii++) {
			obj=3DgChildEntryTable[ii];
			if( obj.id =3D=3D null ) continue;

			if( obj.id.indexOf("PPTC") >=3D 0 )
				obj.style.display=3Dstate;
		}=20
		gTxtState=3Dparent.gOtlTxtExp
		if( ObjExists( gSelected ) )
			ChangeState( gSelected,gOtlNormalClr,gOtlHiliteClr )
	}
}
function InitArray()
{
	count=3D0
	var list=3DGetTags(document,"DIV");
	for(ii=3D0; ii<list.length; ii++) {
		obj=3Dlist.item(ii)
		if( obj.id =3D=3D null ) continue

		if( obj.id.indexOf("PPTC") >=3D 0 ) =20
			gChildEntryTable[count++]=3Dobj
	}
}
function ChangeState( idx,fgColor,bgColor )
{
	obj=3DGetObj("PPTL"+idx)
	obj.style.color=3DfgColor

	obj=3DGetObj("PPTP"+idx)
	obj.style.backgroundColor=3DbgColor
}
function ChgClr( o,clr ){ if( o.id !=3D "PPTL"+gSelected ) o.style.color=3D=
clr }
function Over( src ){ ChgClr(GetLink(src),gOtlActiveClr) }
function Out( src ){ ChgClr(GetLink(src),gOtlHiliteClr) }
function Follow(src){ window.location.href =3D GetLink(src).href; }
function ObjExists( ii ) { obj=3DGetObj("PPTP"+ii ); return( obj ) }
function GoToSld( href ){ UpdIdx(parent.GetSldNum(href)); parent.GoToSld( h=
ref ) }
function CancelDrag(){ window.event.cancelBubble=3Dtrue;window.event.return=
Value=3Dfalse}
function GetLink(src)
{
   if(src.tagName=3D=3D"A") return src
   else return GetTags(src,"A").item(0)
}

function UpdNav()
{
	txt =3D "<center>";
	if( parent.GetHrefObj( parent.gCurSld ).mOrigVis =3D=3D 1 )
		txt +=3D "Slide " + parent.GetCurSldNum() + " of " + parent.GetNumSlds()
	else
		txt +=3D "Hidden Slide"
	txt +=3D "</center>";
	nav_text.innerHTML =3D txt;

	if( !parent.HasPrevSld() )
		gBtnArr["nb_prev"].Enabled(0)
	else
		gBtnArr["nb_prev"].Enabled(1)

	if( !parent.HasNextSld() )
		gBtnArr["nb_next"].Enabled(0)
	else
		gBtnArr["nb_next"].Enabled(1)
	gBtnArr["nb_nts"].Enabled(1)
	gBtnArr["nb_ntsBorder"].SetFlag( parent.gHasNts )

	gBtnArr["nb_sldshw"].Enabled(1)
	gBtnArr["nb_voice"].Enabled(1)
}

function ExecBtn()
{
	if (event.keyCode =3D=3D 13)
	{
		BtnOnDown();
		BtnOnUp();
	}
}
function UpdOtlNav()
{
	gBtnArr["nb_otl"].SetEnabled();

	if( parent.gOtlOpen )
		gBtnArr["nb_otlTxt"].Enabled( true );
	else
		document.all.item("nb_otlTxtBorder").style.visibility =3D "hidden";
}




//--></script>
<style>
<!--.PTxt
	{position:relative;
	width:100%;
	margin-top:5px;
	padding-left:2px;
	font-weight:bold;}
.CTxt
	{position:relative;
	width:100%;
	margin-top:5px;}
a
	{color:white;
	text-decoration:none;}
ul
	{color:white;
	margin-bottom:0px;
	margin-left:20px;}
.sldNum
	{margin-top:5px;
	color:white;}
.button
	{position:absolute;
	width:32px;
	height:20px;
	border-style:solid;
	border-width:1px;
	border-color:threedface;}
-->
</style>
</head>

<body onload=3D"Load()" style=3D'margin:2px'>

<div id=3DNavObj onload=3D"Load()" onmouseover=3D"BtnOnOver()"
onmousedown=3D"BtnOnDown()" onmouseout=3D"BtnOnOut()" onmouseup=3D"BtnOnUp(=
)"
onkeypress=3D"ExecBtn()" style=3D'display:none;visibility:hidden'>
<table id=3D"notesBtn" style=3D'display:none;position:relative;width:55px' =
align=3Dleft cellpadding=3D0
 cellspacing=3D0>
 <td nowrap>
 <div id=3D"nb_ntsElem" title=3D"Show/Hide
Notes" align=3Dcenter style=3D'position:relative;margin-left:5px;margin-rig=
ht:5px;padding:3px;
 font-family:Arial;color:buttontext;font-size:9pt; cursor:default'>
 <img src=3D"notes_flag.gif" id=3D"nb_nts" style=3D'display:none'> &nbsp;No=
tes</div>
 <div id=3D"nb_ntsBorder" title =3D"Show/Hide
Notes" onfocus=3D"BtnOnOver()" onblur=3D"BtnOnOut()" TABINDEX=3D1 style=3D'=
position:absolute;top:0%;left:0%;width:100%;height:20px'>

 </div>
 </td>
</table>


<table style=3D'position:relative;width:70px' align=3Dright cellpadding=3D0=
 cellspacing=3D0>
 <td nowrap>
 <div id=3D"nb_sldshwText" title=3D"Full Screen Slide Show" align=3Dcenter =
style=3D'position:relative;margin-left:20px;padding:3px;
 font-family:Arial;color:buttontext;font-size:9pt;cursor:default'>Slide
Show</div>
 <div id=3D"nb_sldshwBorder" title=3D"Full Screen Slide Show" onfocus=3D"Bt=
nOnOver()" onblur=3D"BtnOnOut()" TABINDEX=3D5 style=3D'position:absolute;to=
p:0%;left:0%;width:100%;height:20px'>
 <div style=3D'position:absolute;clip:rect(0px, 18px, 18px, 0px)'><img
 src=3D"buttons.gif" id=3D"nb_sldshw" style=3D'position:relative;left:-254p=
x'></div>
 </div>
 </td>
 <td>
 <div id=3D"nb_voiceBorder" style=3D'display:none;position:absolute;top:0;l=
eft:-40px;
 width:20px;height:20px' onfocus=3D"BtnOnOver()" onblur=3D"BtnOnOut()" TABI=
NDEX=3D4 class=3Dbutton>
 <div style=3D'position:absolute;clip:rect(0px, 18px, 18px, 0px)'><img
 src=3D"buttons.gif" id=3D"nb_voice" title=3D"Pause/Play Narration" style=
=3D'position:
 relative;left:-290px'></div>
 </div>
 </td>
</table>

<table style=3D'position:relative' align=3Dcenter cellpadding=3D0 cellspaci=
ng=3D0>
 <td nowrap>
 <div id=3D"nb_prevBorder" onfocus=3D"BtnOnOver()" onblur=3D"BtnOnOut()" TA=
BINDEX=3D2 class=3Dbutton style=3D'left:-30px'>
 <div style=3D'position:absolute;clip:rect(0px, 30px, 18px, 0px)'><img
 src=3D"buttons.gif" id=3D"nb_prev" title=3D"Previous Slide" style=3D'posit=
ion:relative;
 left:0px'></div>
 </div>
 <span id=3D"nav_text" style=3D'position:relative;top:3px;width:100px;font-=
family:
 Arial;color:buttontext;font-size:9pt'></span>
 <div id=3D"nb_nextBorder" onfocus=3D"BtnOnOver()" onblur=3D"BtnOnOut()" TA=
BINDEX=3D3 class=3Dbutton>
 <div style=3D'position:absolute;clip:rect(0px, 30px, 18px, 0px)'><img
 src=3D"buttons.gif" id=3D"nb_next" title=3D"Next Slide" style=3D'position:=
relative;
 left:-90px'></div>
 </div>
 </td>
</table>
</div>

<div id=3DOtlNavObj onload=3D"Load()" onmouseover=3D"BtnOnOver()"
onmousedown=3D"BtnOnDown()" onmouseout=3D"BtnOnOut()" onmouseup=3D"BtnOnUp(=
)"
onkeypress=3D"ExecBtn()" style=3D'display:none;visibility:hidden'>

<table style=3D'position:relative;width:70px' align=3Dleft cellpadding=3D0 =
cellspacing=3D0>
 <td nowrap><div title=3D"Show/Hide
Outline" id=3D"nb_otl" onfocus=3D"BtnOnOver()" onblur=3D"BtnOnOut()" TABIND=
EX=3D11
 style=3D'position:absolute;top:0%;left:0%;width:100%;height:100%;cursor:de=
fault'>
 <div id=3D"nb_otlElem" align=3Dcenter style=3D'position:relative;padding:3=
px;font-family:Arial;
 color:buttontext;font-size:9pt'>Outline</div></div>
 </td>
</table>

<table style=3D'position:relative' align=3Dcenter cellpadding=3D0 cellspaci=
ng=3D0>
 <td>
 <div style=3D'position:absolute;left:-18px;width:24px;height:20px;border-s=
tyle:
 solid;border-width:1px;border-color:threedface' onfocus=3D"BtnOnOver()" on=
blur=3D"BtnOnOut()" TABINDEX=3D12 id=3D"nb_otlTxtBorder">
 <div style=3D'position:absolute;clip:rect(0px, 22px, 18px, 0px)'><img
 src=3Dbuttons.gif id=3D"nb_otlTxt" title=3D"Expand/Collapse Outline"
 style=3D'position:relative;left:-157px'></div>
 </div>
 </td>
</table>

</div>

<div id=3DOtlObj style=3D'display:none;visibility:hidden;'>


<table width=3D"100%" style=3D'font-family:Arial;font-size:9pt'>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>1</font></div>
  </td>
  <td width=3D"100%">
  <div id=3DPPTP1 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0008.htm');" id=3DPPTL1><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>2</font></div>
  </td>
  <td>
  <div id=3DPPTP2 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0055.htm');" id=3DPPTL2><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>3</font></div>
  </td>
  <td>
  <div id=3DPPTP3 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0056.htm');" id=3DPPTL3><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>4</font></div>
  </td>
  <td>
  <div id=3DPPTP4 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0057.htm');" id=3DPPTL4><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>5</font></div>
  </td>
  <td>
  <div id=3DPPTP5 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0058.htm');" id=3DPPTL5><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>6</font></div>
  </td>
  <td>
  <div id=3DPPTP6 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0059.htm');" id=3DPPTL6><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>7</font></div>
  </td>
  <td>
  <div id=3DPPTP7 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0060.htm');" id=3DPPTL7><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>8</font></div>
  </td>
  <td>
  <div id=3DPPTP8 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0061.htm');" id=3DPPTL8><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>9</font></div>
  </td>
  <td>
  <div id=3DPPTP9 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0062.htm');" id=3DPPTL9><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>10</font></div>
  </td>
  <td>
  <div id=3DPPTP10 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0063.htm');" id=3DPPTL10><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>11</font></div>
  </td>
  <td>
  <div id=3DPPTP11 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0064.htm');" id=3DPPTL11><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>12</font></div>
  </td>
  <td>
  <div id=3DPPTP12 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0065.htm');" id=3DPPTL12><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>13</font></div>
  </td>
  <td>
  <div id=3DPPTP13 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0024.htm');" id=3DPPTL13>&quot;A complex=
 number
  is a...&quot;</a></font></div>
  <div id=3DPPTC13 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>A complex number is a number of the form</li>
   <li><span
       style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
       </span>a &plusmn;bi</li>
   <li>where a and b are real numbers,</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>14</font></div>
  </td>
  <td>
  <div id=3DPPTP14 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0066.htm');" id=3DPPTL14>&quot;A complex=
 number
  is a...&quot;</a></font></div>
  <div id=3DPPTC14 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>A complex number is a number of the form</li>
   <li><span
       style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
       </span>a &plusmn;bi</li>
   <li>where a and b are real numbers, a is called the real part</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>15</font></div>
  </td>
  <td>
  <div id=3DPPTP15 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0067.htm');" id=3DPPTL15>&quot;A complex=
 number
  is a...&quot;</a></font></div>
  <div id=3DPPTC15 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>A complex number is a number of the form</li>
   <li><span
       style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
       </span>a &plusmn;bi</li>
   <li>where a and b are real numbers, a is called the real part and &plusm=
n;bi
       is called the imaginary part of the complex number.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>16</font></div>
  </td>
  <td>
  <div id=3DPPTP16 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0068.htm');" id=3DPPTL16>&quot;A complex=
 number
  is a...&quot;</a></font></div>
  <div id=3DPPTC16 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>A complex number is a number of the form</li>
   <li><span
       style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
       </span>a &plusmn;bi</li>
   <li>where a and b are real numbers, a is called the real part and &plusm=
n;bi
       is called the imaginary part of the complex number.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>17</font></div>
  </td>
  <td>
  <div id=3DPPTP17 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0069.htm');" id=3DPPTL17>&quot;A complex=
 number
  is a...&quot;</a></font></div>
  <div id=3DPPTC17 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>A complex number is a number of the form</li>
   <li><span
       style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
       </span>a &plusmn;bi</li>
   <li>where a and b are real numbers, a is called the real part and &plusm=
n;bi
       is called the imaginary part of the complex number.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>18</font></div>
  </td>
  <td>
  <div id=3DPPTP18 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0070.htm');" id=3DPPTL18>&quot;A complex=
 number
  is a...&quot;</a></font></div>
  <div id=3DPPTC18 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>A complex number is a number of the form</li>
   <li><span
       style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
       </span>a &plusmn;bi</li>
   <li>where a and b are real numbers, a is called the real part and &plusm=
n;bi
       is called the imaginary part of the complex number.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>19</font></div>
  </td>
  <td>
  <div id=3DPPTP19 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0071.htm');" id=3DPPTL19>&quot;A complex=
 number
  is a...&quot;</a></font></div>
  <div id=3DPPTC19 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>A complex number is a number of the form</li>
   <li><span
       style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
       </span>a &plusmn;bi</li>
   <li>where a and b are real numbers, a is called the real part and &plusm=
n;bi
       is called the imaginary part of the complex number.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>20</font></div>
  </td>
  <td>
  <div id=3DPPTP20 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0072.htm');" id=3DPPTL20>&quot;A complex=
 number
  is a...&quot;</a></font></div>
  <div id=3DPPTC20 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>A complex number is a number of the form</li>
   <li><span
       style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
       </span>a &plusmn;bi</li>
   <li>where a and b are real numbers, a is called the real part and &plusm=
n;bi
       is called the imaginary part of the complex number</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>21</font></div>
  </td>
  <td>
  <div id=3DPPTP21 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0073.htm');" id=3DPPTL21>&quot;A complex=
 number
  is a...&quot;</a></font></div>
  <div id=3DPPTC21 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>A complex number is a number of the form</li>
   <li><span
       style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
       </span>a &plusmn;bi</li>
   <li>where a and b are real numbers, a is called the real part and &plusm=
n;bi
       is called the imaginary part of the complex number</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>22</font></div>
  </td>
  <td>
  <div id=3DPPTP22 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0074.htm');" id=3DPPTL22>&quot;A complex=
 number
  is a...&quot;</a></font></div>
  <div id=3DPPTC22 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>A complex number is a number of the form</li>
   <li><span
       style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
       </span>a &plusmn;bi</li>
   <li>where a and b are real numbers, a is called the real part and &plusm=
n;bi
       is called the imaginary part of the complex number</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>23</font></div>
  </td>
  <td>
  <div id=3DPPTP23 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0075.htm');" id=3DPPTL23>&quot;A complex=
 number
  is a...&quot;</a></font></div>
  <div id=3DPPTC23 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>A complex number is a number of the form</li>
   <li><span
       style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
       </span>a &plusmn;bi</li>
   <li>where a and b are real numbers, a is called the real part and &plusm=
n;bi
       is called the imaginary part of the complex number</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>24</font></div>
  </td>
  <td>
  <div id=3DPPTP24 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0076.htm');" id=3DPPTL24>&quot;A complex=
 number
  is a...&quot;</a></font></div>
  <div id=3DPPTC24 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>A complex number is a number of the form</li>
   <li><span
       style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
       </span>a &plusmn;bi</li>
   <li>where a and b are real numbers, a is called the real part and &plusm=
n;bi
       is called the imaginary part of the complex number</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>25</font></div>
  </td>
  <td>
  <div id=3DPPTP25 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0077.htm');" id=3DPPTL25>&quot;A complex=
 number
  is a...&quot;</a></font></div>
  <div id=3DPPTC25 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>A complex number is a number of the form</li>
   <li><span
       style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
       </span>a &plusmn;bi</li>
   <li>where a and b are real numbers, a is called the real part and &plusm=
n;bi
       is called the imaginary part of the complex number</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>26</font></div>
  </td>
  <td>
  <div id=3DPPTP26 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0078.htm');" id=3DPPTL26>&quot;A complex=
 number
  is a...&quot;</a></font></div>
  <div id=3DPPTC26 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>A complex number is a number of the form</li>
   <li><span
       style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
       </span>a &plusmn;bi</li>
   <li>where a and b are real numbers, a is called the real part and &plusm=
n;bi
       is called the imaginary part of the complex number</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>27</font></div>
  </td>
  <td>
  <div id=3DPPTP27 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0040.htm');" id=3DPPTL27><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>28</font></div>
  </td>
  <td>
  <div id=3DPPTP28 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0079.htm');" id=3DPPTL28><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>29</font></div>
  </td>
  <td>
  <div id=3DPPTP29 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0080.htm');" id=3DPPTL29><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>30</font></div>
  </td>
  <td>
  <div id=3DPPTP30 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0081.htm');" id=3DPPTL30><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>31</font></div>
  </td>
  <td>
  <div id=3DPPTP31 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0082.htm');" id=3DPPTL31><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>32</font></div>
  </td>
  <td>
  <div id=3DPPTP32 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0083.htm');" id=3DPPTL32><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>33</font></div>
  </td>
  <td>
  <div id=3DPPTP33 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0084.htm');" id=3DPPTL33><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>34</font></div>
  </td>
  <td>
  <div id=3DPPTP34 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0085.htm');" id=3DPPTL34><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>35</font></div>
  </td>
  <td>
  <div id=3DPPTP35 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0086.htm');" id=3DPPTL35><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>36</font></div>
  </td>
  <td>
  <div id=3DPPTP36 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0087.htm');" id=3DPPTL36><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>37</font></div>
  </td>
  <td>
  <div id=3DPPTP37 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0088.htm');" id=3DPPTL37><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>38</font></div>
  </td>
  <td>
  <div id=3DPPTP38 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0089.htm');" id=3DPPTL38><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>39</font></div>
  </td>
  <td>
  <div id=3DPPTP39 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0090.htm');" id=3DPPTL39><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>40</font></div>
  </td>
  <td>
  <div id=3DPPTP40 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0092.htm');" id=3DPPTL40><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>41</font></div>
  </td>
  <td>
  <div id=3DPPTP41 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0093.htm');" id=3DPPTL41><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>42</font></div>
  </td>
  <td>
  <div id=3DPPTP42 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0048.htm');" id=3DPPTL42><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>43</font></div>
  </td>
  <td>
  <div id=3DPPTP43 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0094.htm');" id=3DPPTL43><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>44</font></div>
  </td>
  <td>
  <div id=3DPPTP44 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0095.htm');" id=3DPPTL44><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>45</font></div>
  </td>
  <td>
  <div id=3DPPTP45 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0096.htm');" id=3DPPTL45><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>46</font></div>
  </td>
  <td>
  <div id=3DPPTP46 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0097.htm');" id=3DPPTL46><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>47</font></div>
  </td>
  <td>
  <div id=3DPPTP47 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0098.htm');" id=3DPPTL47><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>48</font></div>
  </td>
  <td>
  <div id=3DPPTP48 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0099.htm');" id=3DPPTL48><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>49</font></div>
  </td>
  <td>
  <div id=3DPPTP49 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0100.htm');" id=3DPPTL49><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>50</font></div>
  </td>
  <td>
  <div id=3DPPTP50 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0101.htm');" id=3DPPTL50><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>51</font></div>
  </td>
  <td>
  <div id=3DPPTP51 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0102.htm');" id=3DPPTL51><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>52</font></div>
  </td>
  <td>
  <div id=3DPPTP52 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0103.htm');" id=3DPPTL52><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>53</font></div>
  </td>
  <td>
  <div id=3DPPTP53 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0104.htm');" id=3DPPTL53><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>54</font></div>
  </td>
  <td>
  <div id=3DPPTP54 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0105.htm');" id=3DPPTL54><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>55</font></div>
  </td>
  <td>
  <div id=3DPPTP55 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0106.htm');" id=3DPPTL55><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>56</font></div>
  </td>
  <td>
  <div id=3DPPTP56 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0107.htm');" id=3DPPTL56><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>57</font></div>
  </td>
  <td>
  <div id=3DPPTP57 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0108.htm');" id=3DPPTL57><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>58</font></div>
  </td>
  <td>
  <div id=3DPPTP58 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0109.htm');" id=3DPPTL58><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>59</font></div>
  </td>
  <td>
  <div id=3DPPTP59 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0110.htm');" id=3DPPTL59><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>60</font></div>
  </td>
  <td>
  <div id=3DPPTP60 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0111.htm');" id=3DPPTL60><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
</table>



</div>

<div style=3D'display:none'><a href=3Dmaster15.htm></a><a href=3Dmaster15.x=
ml></a><a
href=3Dpreview.wmf></a><a href=3Dpres.xml></a><a href=3Dslide0008.htm></a><a
href=3Dslide0055.htm></a><a href=3Dslide0056.htm></a><a
href=3D"slide0056_image001.gif"></a><a href=3Dslide0057.htm></a><a
href=3D"slide0057_image002.gif"></a><a href=3D"slide0057_image003.gif"></a>=
<a
href=3Dslide0058.htm></a><a href=3D"slide0058_image004.gif"></a><a
href=3D"slide0058_image005.gif"></a><a href=3Dslide0059.htm></a><a
href=3D"slide0059_image006.gif"></a><a href=3D"slide0059_image007.gif"></a>=
<a
href=3Dslide0060.htm></a><a href=3D"slide0060_image008.gif"></a><a
href=3D"slide0060_image009.gif"></a><a href=3Dslide0061.htm></a><a
href=3D"slide0061_image010.gif"></a><a href=3D"slide0061_image011.gif"></a>=
<a
href=3Dslide0062.htm></a><a href=3D"slide0062_image012.gif"></a><a
href=3D"slide0062_image013.gif"></a><a href=3Dslide0063.htm></a><a
href=3D"slide0063_image014.gif"></a><a href=3D"slide0063_image015.gif"></a>=
<a
href=3Dslide0064.htm></a><a href=3D"slide0064_image016.gif"></a><a
href=3D"slide0064_image017.gif"></a><a href=3Dslide0065.htm></a><a
href=3D"slide0065_image018.gif"></a><a href=3D"slide0065_image019.gif"></a>=
<a
href=3Dslide0024.htm></a><a href=3Dslide0066.htm></a><a href=3Dslide0067.ht=
m></a><a
href=3Dslide0068.htm></a><a href=3Dslide0069.htm></a><a href=3Dslide0070.ht=
m></a><a
href=3Dslide0071.htm></a><a href=3Dslide0072.htm></a><a href=3Dslide0073.ht=
m></a><a
href=3Dslide0074.htm></a><a href=3Dslide0075.htm></a><a href=3Dslide0076.ht=
m></a><a
href=3Dslide0077.htm></a><a href=3Dslide0078.htm></a><a href=3Dslide0040.ht=
m></a><a
href=3Dslide0079.htm></a><a href=3Dslide0080.htm></a><a href=3Dslide0081.ht=
m></a><a
href=3Dslide0082.htm></a><a href=3Dslide0083.htm></a><a href=3Dslide0084.ht=
m></a><a
href=3Dslide0085.htm></a><a href=3Dslide0086.htm></a><a href=3Dslide0087.ht=
m></a><a
href=3Dslide0088.htm></a><a href=3Dslide0089.htm></a><a href=3Dslide0090.ht=
m></a><a
href=3Dslide0092.htm></a><a href=3Dslide0093.htm></a><a href=3Dslide0048.ht=
m></a><a
href=3Dslide0094.htm></a><a href=3Dslide0095.htm></a><a href=3Dslide0096.ht=
m></a><a
href=3D"slide0096_image020.gif"></a><a href=3Dslide0097.htm></a><a
href=3D"slide0097_image021.gif"></a><a href=3Dslide0098.htm></a><a
href=3D"slide0098_image022.gif"></a><a href=3D"slide0098_image023.gif"></a>=
<a
href=3D"slide0098_image024.gif"></a><a href=3Dslide0099.htm></a><a
href=3D"slide0099_image025.gif"></a><a href=3D"slide0099_image026.gif"></a>=
<a
href=3D"slide0099_image027.gif"></a><a href=3D"slide0099_image028.gif"></a>=
<a
href=3Dslide0100.htm></a><a href=3D"slide0100_image029.gif"></a><a
href=3D"slide0100_image030.gif"></a><a href=3D"slide0100_image031.gif"></a>=
<a
href=3D"slide0100_image032.gif"></a><a href=3D"slide0100_image033.gif"></a>=
<a
href=3Dslide0101.htm></a><a href=3D"slide0101_image034.gif"></a><a
href=3D"slide0101_image035.gif"></a><a href=3D"slide0101_image036.gif"></a>=
<a
href=3D"slide0101_image037.gif"></a><a href=3D"slide0101_image038.gif"></a>=
<a
href=3Dslide0102.htm></a><a href=3D"slide0102_image039.gif"></a><a
href=3D"slide0102_image040.gif"></a><a href=3D"slide0102_image041.gif"></a>=
<a
href=3D"slide0102_image042.gif"></a><a href=3D"slide0102_image043.gif"></a>=
<a
href=3Dslide0103.htm></a><a href=3D"slide0103_image044.gif"></a><a
href=3D"slide0103_image045.gif"></a><a href=3D"slide0103_image046.gif"></a>=
<a
href=3D"slide0103_image047.gif"></a><a href=3D"slide0103_image048.gif"></a>=
<a
href=3Dslide0104.htm></a><a href=3D"slide0104_image049.gif"></a><a
href=3D"slide0104_image050.gif"></a><a href=3D"slide0104_image051.gif"></a>=
<a
href=3D"slide0104_image052.gif"></a><a href=3D"slide0104_image053.gif"></a>=
<a
href=3D"slide0104_image054.gif"></a><a href=3D"slide0104_image055.gif"></a>=
<a
href=3Dslide0105.htm></a><a href=3D"slide0105_image056.gif"></a><a
href=3D"slide0105_image057.gif"></a><a href=3D"slide0105_image058.gif"></a>=
<a
href=3D"slide0105_image059.gif"></a><a href=3D"slide0105_image060.gif"></a>=
<a
href=3D"slide0105_image061.gif"></a><a href=3D"slide0105_image062.gif"></a>=
<a
href=3Dslide0106.htm></a><a href=3D"slide0106_image063.gif"></a><a
href=3D"slide0106_image064.gif"></a><a href=3D"slide0106_image065.gif"></a>=
<a
href=3D"slide0106_image066.gif"></a><a href=3D"slide0106_image067.gif"></a>=
<a
href=3D"slide0106_image068.gif"></a><a href=3D"slide0106_image069.gif"></a>=
<a
href=3Dslide0107.htm></a><a href=3D"slide0107_image070.gif"></a><a
href=3D"slide0107_image071.gif"></a><a href=3D"slide0107_image072.gif"></a>=
<a
href=3D"slide0107_image073.gif"></a><a href=3D"slide0107_image074.gif"></a>=
<a
href=3D"slide0107_image075.gif"></a><a href=3D"slide0107_image076.gif"></a>=
<a
href=3Dslide0108.htm></a><a href=3D"slide0108_image077.gif"></a><a
href=3D"slide0108_image078.gif"></a><a href=3D"slide0108_image079.gif"></a>=
<a
href=3D"slide0108_image080.gif"></a><a href=3D"slide0108_image081.gif"></a>=
<a
href=3D"slide0108_image082.gif"></a><a href=3D"slide0108_image083.gif"></a>=
<a
href=3D"slide0108_image084.gif"></a><a href=3Dslide0109.htm></a><a
href=3D"slide0109_image085.gif"></a><a href=3D"slide0109_image086.gif"></a>=
<a
href=3D"slide0109_image087.gif"></a><a href=3D"slide0109_image088.gif"></a>=
<a
href=3D"slide0109_image089.gif"></a><a href=3D"slide0109_image090.gif"></a>=
<a
href=3D"slide0109_image091.gif"></a><a href=3D"slide0109_image092.gif"></a>=
<a
href=3D"slide0109_image093.gif"></a><a href=3Dslide0110.htm></a><a
href=3D"slide0110_image094.gif"></a><a href=3D"slide0110_image095.gif"></a>=
<a
href=3D"slide0110_image096.gif"></a><a href=3D"slide0110_image097.gif"></a>=
<a
href=3D"slide0110_image098.gif"></a><a href=3D"slide0110_image099.gif"></a>=
<a
href=3D"slide0110_image100.gif"></a><a href=3D"slide0110_image101.gif"></a>=
<a
href=3D"slide0110_image102.gif"></a><a href=3D"slide0110_image103.gif"></a>=
<a
href=3Dslide0111.htm></a><a href=3Dslide0111.xml></a><a
href=3D"slide0111_image104.gif"></a><a href=3D"slide0111_image105.gif"></a>=
<a
href=3D"slide0111_image106.gif"></a><a href=3D"slide0111_image107.gif"></a>=
<a
href=3D"slide0111_image108.gif"></a><a href=3D"slide0111_image109.gif"></a>=
<a
href=3D"slide0111_image110.gif"></a><a href=3D"slide0111_image111.gif"></a>=
<a
href=3D"slide0111_image112.gif"></a><a href=3D"slide0111_image113.gif"></a>=
<a
href=3D"slide0111_image114.gif"></a><a href=3D"slide0111_image115.gif"></a>=
<a
href=3D"master15_stylesheet.css"></a><a href=3Dscript.js></a><a
href=3Dfullscreen.htm></a><a href=3Dbuttons.gif></a><a href=3Dframe.htm></a=
><a
href=3Doutline.htm></a><a href=3Dfilelist.xml></a><a href=3D"../2ComplexNum=
bers.htm"></a><a
href=3Dmaster15.htm></a><a href=3Dmaster15.xml></a><a href=3Dpreview.wmf></=
a><a
href=3Dpres.xml></a><a href=3Dslide0008.htm></a><a href=3Dslide0055.htm></a=
><a
href=3Dslide0056.htm></a><a href=3D"slide0056_image001.gif"></a><a
href=3Dslide0057.htm></a><a href=3D"slide0057_image002.gif"></a><a
href=3D"slide0057_image003.gif"></a><a href=3Dslide0058.htm></a><a
href=3D"slide0058_image004.gif"></a><a href=3D"slide0058_image005.gif"></a>=
<a
href=3Dslide0059.htm></a><a href=3D"slide0059_image006.gif"></a><a
href=3D"slide0059_image007.gif"></a><a href=3Dslide0060.htm></a><a
href=3D"slide0060_image008.gif"></a><a href=3D"slide0060_image009.gif"></a>=
<a
href=3Dslide0061.htm></a><a href=3D"slide0061_image010.gif"></a><a
href=3D"slide0061_image011.gif"></a><a href=3Dslide0062.htm></a><a
href=3D"slide0062_image012.gif"></a><a href=3D"slide0062_image013.gif"></a>=
<a
href=3Dslide0063.htm></a><a href=3D"slide0063_image014.gif"></a><a
href=3D"slide0063_image015.gif"></a><a href=3Dslide0064.htm></a><a
href=3D"slide0064_image016.gif"></a><a href=3D"slide0064_image017.gif"></a>=
<a
href=3Dslide0065.htm></a><a href=3D"slide0065_image018.gif"></a><a
href=3D"slide0065_image019.gif"></a><a href=3Dslide0024.htm></a><a
href=3Dslide0066.htm></a><a href=3Dslide0067.htm></a><a href=3Dslide0068.ht=
m></a><a
href=3Dslide0069.htm></a><a href=3Dslide0070.htm></a><a href=3Dslide0071.ht=
m></a><a
href=3Dslide0072.htm></a><a href=3Dslide0073.htm></a><a href=3Dslide0074.ht=
m></a><a
href=3Dslide0075.htm></a><a href=3Dslide0076.htm></a><a href=3Dslide0077.ht=
m></a><a
href=3Dslide0078.htm></a><a href=3Dslide0040.htm></a><a href=3Dslide0079.ht=
m></a><a
href=3Dslide0080.htm></a><a href=3Dslide0081.htm></a><a href=3Dslide0082.ht=
m></a><a
href=3Dslide0083.htm></a><a href=3Dslide0084.htm></a><a href=3Dslide0085.ht=
m></a><a
href=3Dslide0086.htm></a><a href=3Dslide0087.htm></a><a href=3Dslide0088.ht=
m></a><a
href=3Dslide0089.htm></a><a href=3Dslide0090.htm></a><a href=3Dslide0092.ht=
m></a><a
href=3Dslide0093.htm></a><a href=3Dslide0048.htm></a><a href=3Dslide0094.ht=
m></a><a
href=3Dslide0095.htm></a><a href=3Dslide0096.htm></a><a
href=3D"slide0096_image020.gif"></a><a href=3Dslide0097.htm></a><a
href=3D"slide0097_image021.gif"></a><a href=3Dslide0098.htm></a><a
href=3D"slide0098_image022.gif"></a><a href=3D"slide0098_image023.gif"></a>=
<a
href=3D"slide0098_image024.gif"></a><a href=3Dslide0099.htm></a><a
href=3D"slide0099_image025.gif"></a><a href=3D"slide0099_image026.gif"></a>=
<a
href=3D"slide0099_image027.gif"></a><a href=3D"slide0099_image028.gif"></a>=
<a
href=3Dslide0100.htm></a><a href=3D"slide0100_image029.gif"></a><a
href=3D"slide0100_image030.gif"></a><a href=3D"slide0100_image031.gif"></a>=
<a
href=3D"slide0100_image032.gif"></a><a href=3D"slide0100_image033.gif"></a>=
<a
href=3Dslide0101.htm></a><a href=3D"slide0101_image034.gif"></a><a
href=3D"slide0101_image035.gif"></a><a href=3D"slide0101_image036.gif"></a>=
<a
href=3D"slide0101_image037.gif"></a><a href=3D"slide0101_image038.gif"></a>=
<a
href=3Dslide0102.htm></a><a href=3D"slide0102_image039.gif"></a><a
href=3D"slide0102_image040.gif"></a><a href=3D"slide0102_image041.gif"></a>=
<a
href=3D"slide0102_image042.gif"></a><a href=3D"slide0102_image043.gif"></a>=
<a
href=3Dslide0103.htm></a><a href=3D"slide0103_image044.gif"></a><a
href=3D"slide0103_image045.gif"></a><a href=3D"slide0103_image046.gif"></a>=
<a
href=3D"slide0103_image047.gif"></a><a href=3D"slide0103_image048.gif"></a>=
<a
href=3Dslide0104.htm></a><a href=3D"slide0104_image049.gif"></a><a
href=3D"slide0104_image050.gif"></a><a href=3D"slide0104_image051.gif"></a>=
<a
href=3D"slide0104_image052.gif"></a><a href=3D"slide0104_image053.gif"></a>=
<a
href=3D"slide0104_image054.gif"></a><a href=3D"slide0104_image055.gif"></a>=
<a
href=3Dslide0105.htm></a><a href=3D"slide0105_image056.gif"></a><a
href=3D"slide0105_image057.gif"></a><a href=3D"slide0105_image058.gif"></a>=
<a
href=3D"slide0105_image059.gif"></a><a href=3D"slide0105_image060.gif"></a>=
<a
href=3D"slide0105_image061.gif"></a><a href=3D"slide0105_image062.gif"></a>=
<a
href=3Dslide0106.htm></a><a href=3D"slide0106_image063.gif"></a><a
href=3D"slide0106_image064.gif"></a><a href=3D"slide0106_image065.gif"></a>=
<a
href=3D"slide0106_image066.gif"></a><a href=3D"slide0106_image067.gif"></a>=
<a
href=3D"slide0106_image068.gif"></a><a href=3D"slide0106_image069.gif"></a>=
<a
href=3Dslide0107.htm></a><a href=3D"slide0107_image070.gif"></a><a
href=3D"slide0107_image071.gif"></a><a href=3D"slide0107_image072.gif"></a>=
<a
href=3D"slide0107_image073.gif"></a><a href=3D"slide0107_image074.gif"></a>=
<a
href=3D"slide0107_image075.gif"></a><a href=3D"slide0107_image076.gif"></a>=
<a
href=3Dslide0108.htm></a><a href=3D"slide0108_image077.gif"></a><a
href=3D"slide0108_image078.gif"></a><a href=3D"slide0108_image079.gif"></a>=
<a
href=3D"slide0108_image080.gif"></a><a href=3D"slide0108_image081.gif"></a>=
<a
href=3D"slide0108_image082.gif"></a><a href=3D"slide0108_image083.gif"></a>=
<a
href=3D"slide0108_image084.gif"></a><a href=3Dslide0109.htm></a><a
href=3D"slide0109_image085.gif"></a><a href=3D"slide0109_image086.gif"></a>=
<a
href=3D"slide0109_image087.gif"></a><a href=3D"slide0109_image088.gif"></a>=
<a
href=3D"slide0109_image089.gif"></a><a href=3D"slide0109_image090.gif"></a>=
<a
href=3D"slide0109_image091.gif"></a><a href=3D"slide0109_image092.gif"></a>=
<a
href=3D"slide0109_image093.gif"></a><a href=3Dslide0110.htm></a><a
href=3D"slide0110_image094.gif"></a><a href=3D"slide0110_image095.gif"></a>=
<a
href=3D"slide0110_image096.gif"></a><a href=3D"slide0110_image097.gif"></a>=
<a
href=3D"slide0110_image098.gif"></a><a href=3D"slide0110_image099.gif"></a>=
<a
href=3D"slide0110_image100.gif"></a><a href=3D"slide0110_image101.gif"></a>=
<a
href=3D"slide0110_image102.gif"></a><a href=3D"slide0110_image103.gif"></a>=
<a
href=3Dslide0111.htm></a><a href=3Dslide0111.xml></a><a
href=3D"slide0111_image104.gif"></a><a href=3D"slide0111_image105.gif"></a>=
<a
href=3D"slide0111_image106.gif"></a><a href=3D"slide0111_image107.gif"></a>=
<a
href=3D"slide0111_image108.gif"></a><a href=3D"slide0111_image109.gif"></a>=
<a
href=3D"slide0111_image110.gif"></a><a href=3D"slide0111_image111.gif"></a>=
<a
href=3D"slide0111_image112.gif"></a><a href=3D"slide0111_image113.gif"></a>=
<a
href=3D"slide0111_image114.gif"></a><a href=3D"slide0111_image115.gif"></a>=
<a
href=3D"master15_stylesheet.css"></a><a href=3Dscript.js></a><a
href=3Dfullscreen.htm></a><a href=3Dbuttons.gif></a><a href=3Dframe.htm></a=
><a
href=3Doutline.htm></a></div>

</body>

</html>

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0008.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0055.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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==

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0056.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0056_image001.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhGAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAW
AAEAgAAAAPgGKQIEjI+pUQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0057.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0057_image002.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhGAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAW
AAEAgAAAAPgGKQIEjI+pUQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0057_image003.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS
AAEAgAAAAAAAAAIEjI95BQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0058.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0058_image004.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhGAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAW
AAEAgAAAAPgGKQIEjI+pUQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0058_image005.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS
AAEAgAAAAAAAAAIEjI95BQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0059.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0059_image006.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhGAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAW
AAEAgAAAAPgGKQIEjI+pUQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0059_image007.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS
AAEAgAAAAAAAAAIEjI95BQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0060.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0060_image008.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhGAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAW
AAEAgAAAAPgGKQIEjI+pUQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0060_image009.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS
AAEAgAAAAAAAAAIEjI95BQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0061.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0061_image010.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhGAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAW
AAEAgAAAAPgGKQIEjI+pUQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0061_image011.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS
AAEAgAAAAAAAAAIEjI95BQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0062.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0062_image012.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhGAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAW
AAEAgAAAAPgGKQIEjI+pUQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0062_image013.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS
AAEAgAAAAAAAAAIEjI95BQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0063.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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=

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0063_image014.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhGAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAW
AAEAgAAAAPgGKQIEjI+pUQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0063_image015.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS
AAEAgAAAAAAAAAIEjI95BQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0064.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0064_image016.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhGAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAW
AAEAgAAAAPgGKQIEjI+pUQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0064_image017.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS
AAEAgAAAAAAAAAIEjI95BQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0065.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0065_image018.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhGAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAW
AAEAgAAAAPgGKQIEjI+pUQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0065_image019.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS
AAEAgAAAAAAAAAIEjI95BQA7

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0024.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0066.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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==

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0067.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0068.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0069.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0040.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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=

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0079.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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==

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0080.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0081.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0082.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0083.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0084.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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=

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0085.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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==

------=_NextPart_01C8E538.D9DEDD90
Content-Location: file:///C:/7102A2B3/2ComplexNumbers_files/slide0086.htm
Content-Transfer-Encoding: base64
Content-Type: text/html
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